89 Publications

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[89]
2019 | Journal Article | IST-REx-ID: 170   OA
Browning, Timothy D., and Efthymios Sofos. “Counting Rational Points on Quartic Del Pezzo Surfaces with a Rational Conic.” Mathematische Annalen, vol. 373, no. 3–4, Springer Nature, 2019, pp. 977–1016, doi:10.1007/s00208-018-1716-6.
View | Files available | DOI | arXiv
 
[88]
2019 | Journal Article | IST-REx-ID: 175   OA
Browning, Timothy D., and Daniel Loughran. “Sieving Rational Points on Varieties.” Transactions of the American Mathematical Society, vol. 371, no. 8, American Mathematical Society, 2019, pp. 5757–85.
View | Download (ext.) | arXiv
 
[87]
2019 | Journal Article | IST-REx-ID: 6310   OA
Browning, Timothy D., and L. Q. Hu. “ Counting Rational Points on Biquadratic Hypersurfaces.” Advances in Mathematics, vol. 349, Elsevier, 2019, pp. 920–40, doi:10.1016/j.aim.2019.04.031.
View | Files available | DOI | arXiv
 
[86]
2018 | Conference Paper | IST-REx-ID: 174
Browning, Timothy D. How Often Does the Hasse Principle Hold? Vol. 97, no. 2, American Mathematical Society, 2018, pp. 89–102, doi:10.1090/pspum/097.2/01700.
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[85]
2018 | Preprint | IST-REx-ID: 179   OA
Browning, Timothy D., and Roger Heath Brown. “Density of Rational Points on a Quadric Bundle in ℙ3×ℙ3.” Unknown, Unknown, 2018, pp. 1–60.
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[84]
2018 | Preprint | IST-REx-ID: 176   OA
Browning, Timothy D., and Efthymios Sofos. “Averages of Arithmetic Functions over Principal Ideals.” International Journal of Nuber Theory, World Scientific Publishing, 2018, pp. 1–22.
View | Download (ext.) | arXiv
 
[83]
2018 | Journal Article | IST-REx-ID: 178   OA
Browning, Timothy D., and Roger Heath-Brown. “Counting Rational Points on Quadric Surfaces.” Discrete Analysis, Alliance of Diamond Open Access Journals, 2018, pp. 1–31, doi:10.19086/da.4375.
View | DOI | Download (ext.) | arXiv
 
[82]
2017 | Journal Article | IST-REx-ID: 268   OA
Browning, Timothy D., and Sean Prendiville. “A Transference Approach to a Roth-Type Theorem in the Squares.” International Mathematics Research Notices, vol. 2017, no. 7, Oxford University Press, 2017, pp. 2219–48, doi:10.1093/imrn/rnw096.
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[81]
2017 | Journal Article | IST-REx-ID: 270   OA
Browning, Timothy D., and Alexander Gorodnik. “Power-Free Values of Polynomials on Symmetric Varieties.” Proceedings of the London Mathematical Society, vol. 114, no. 6, Wiley Blackwell, 2017, pp. 1044–80, doi:10.1112/plms.12030.
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[80]
2017 | Journal Article | IST-REx-ID: 269   OA
Browning, Timothy D., and Daniel Loughran. “Varieties with Too Many Rational Points.” Mathematische Zeitschrift, vol. 285, no. 3–4, Springer, 2017, pp. 1249–67, doi:10.1007/s00209-016-1746-2.
View | DOI | Download (ext.) | arXiv
 
[79]
2017 | Journal Article | IST-REx-ID: 271   OA
Browning, Timothy D., and Sean Prendiville. “Improvements in Birch’s Theorem on Forms in Many Variables.” Journal Fur Die Reine Und Angewandte Mathematik, vol. 2017, no. 731, Walter de Gruyter, 2017, pp. 203–34, doi:doi.org/10.1515/crelle-2014-0122.
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[78]
2017 | Journal Article | IST-REx-ID: 169   OA
Browning, Timothy D., et al. “Twisted Linnik Implies Optimal Covering Exponent for S3.” International Mathematics Research Notices, Oxford University Press, 2017, doi:https://doi.org/10.1093/imrn/rnx116.
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[77]
2017 | Journal Article | IST-REx-ID: 265
Browning, Timothy D., and Pankaj Vishe. “Rational Curves on Smooth Hypersurfaces of Low Degree.” Geometric Methods in Algebra and Number Theory, vol. 11, no. 7, Mathematical Sciences Publishers, 2017, pp. 1657–75, doi:10.2140/ant.2017.11.1657.
View | DOI
 
[76]
2017 | Journal Article | IST-REx-ID: 272   OA
Browning, Timothy D., and Lilian Matthiesen. “Norm Forms for Arbitrary Number Fields as Products of Linear Polynomials.” Annales Scientifiques de l’Ecole Normale Superieure, vol. 50, no. 6, Societe Mathematique de France, 2017, pp. 1383–446, doi:10.24033/asens.2348.
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[75]
2017 | Preprint | IST-REx-ID: 177   OA
Browning, Timothy D., and Will Sawin. “A Geometric Version of the Circle Method.” Unknown, Unknown, 2017, pp. 1–47.
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[74]
2017 | Journal Article | IST-REx-ID: 172   OA
Browning, Timothy D., and Damaris Schindler. “Strong Approximation and a Conjecture of Harpaz and Wittenberg.” International Mathematics Research Notices, Oxford University Press, 2017, doi:https://doi.org/10.1093/imrn/rnx252.
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[73]
2017 | Journal Article | IST-REx-ID: 266   OA
Browning, Timothy D., and Roger Heath Brown. “Forms in Many Variables and Differing Degrees.” Journal of the European Mathematical Society, vol. 19, no. 2, European Mathematical Society Publishing House, 2017, pp. 357–94, doi:10.4171/JEMS/668.
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[72]
2017 | Journal Article | IST-REx-ID: 267
Browning, Timothy D. “Many Cubic Surfaces Contain Rational Points.” Mathematika, vol. 63, no. 3, Cambridge University Press, 2017, pp. 818–39, doi:10.1112/S0025579317000195.
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[71]
2016 | Journal Article | IST-REx-ID: 263   OA
De La Bretèche, Régis, et al. “Counting Rational Points on the Cayley Ruled Cubic.” European Journal of Mathematics, vol. 2, no. 1, Springer Nature, 2016, pp. 55–72, doi:10.1007/s40879-015-0049-1.
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[70]
2016 | Journal Article | IST-REx-ID: 264   OA
Bright, Maritn, et al. “Failures of Weak Approximation in Families.” Compositio Mathematica, vol. 152, no. 7, Cambridge University Press, 2016, pp. 1435–75, doi:10.1112/S0010437X16007405.
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[69]
2016 | Journal Article | IST-REx-ID: 261
Browning, Timothy D., and Ilya Vinogradov. “Effective Ratner Theorem for SL (2, R) ⋉R2 and Gaps in √n modulo 1.” Journal of the London Mathematical Society, vol. 94, no. 1, John Wiley and Sons Ltd, 2016, pp. 61–84, doi:10.1112/jlms/jdw025.
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[68]
2016 | Journal Article | IST-REx-ID: 173   OA
Browning, Timothy D., and Andrew Booker. “Square-Free Values of Reducible Polynomials.” Discrete Analysis, vol. 8, Unknown, 2016, pp. 1–18.
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[67]
2016 | Journal Article | IST-REx-ID: 262   OA
Browning, Timothy D., and Rachel Newton. “The Proportion of Failures of the Hasse Norm Principle.” Mathematika, vol. 62, no. 2, Cambridge University Press, 2016, pp. 337–47, doi:10.1112/S0025579315000261.
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[66]
2015 | Journal Article | IST-REx-ID: 256   OA
Browning, Timothy D., and Sean Prendiville. “Improvements in Birch’s Theorem on Forms in Many Variables.” Journal Fur Die Reine Und Angewandte Mathematik, vol. 2017, no. 731, Walter de Gruyter, 2015, doi:10.1515/crelle-2014-0122.
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[65]
2015 | Journal Article | IST-REx-ID: 257   OA
Browning, Timothy D., and Ritabrata Munshi. “Pairs of Diagonal Quadratic Forms and Linear Correlations among Sums of Two Squares.” Forum Mathematicum, vol. 27, no. 4, Walter de Gruyter GmbH, 2015, pp. 2025–50, doi:10.1515/forum-2013-6024.
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[64]
2015 | Journal Article | IST-REx-ID: 260
Browning, Timothy D., et al. “Erratum Rational Points on Intersections of Cubic and Quadric Hypersurfaces.” Journal of the Institute of Mathematics of Jussieu, vol. 14, no. 4, Cambridge University Press, 2015, doi:10.1017/S1474748014000279.
View | DOI
 
[63]
2015 | Book Chapter | IST-REx-ID: 258
Browning, Timothy D. “A Survey of Applications of the Circle Method to Rational Points.” Arithmetic and Geometry, Cambridge University Press, 2015, pp. 89–113, doi:10.1017/CBO9781316106877.009.
View | DOI
 
[62]
2015 | Journal Article | IST-REx-ID: 259
Browning, Timothy D., and Pankaj Vishe. “Rational Points on Cubic Hypersurfaces over F_q(T) .” Geometric and Functional Analysis, vol. 25, no. 3, Birkhäuser, 2015, pp. 671–732, doi:10.1007/s00039-015-0328-5.
View | DOI
 
[61]
2014 | Journal Article | IST-REx-ID: 249
Browning, Timothy D., and Pankaj Vishe. “Cubic Hypersurfaces and a Version of the Circle Method for Number Fields.” Duke Mathematical Journal, vol. 163, no. 10, Duke University Press, 2014, pp. 1825–83, doi:10.1215/00127094-2738530.
View | DOI
 
[60]
2014 | Journal Article | IST-REx-ID: 252
Browning, Timothy D., and Michael Jones. “Counting Rational Points on Del Pezzo Surfaces with a Conic Bundle Structure.” Acta Arithmetica, vol. 163, no. 3, Instytut Matematyczny, 2014, pp. 271–98, doi:10.4064/aa163-3-6.
View | DOI
 
[59]
2014 | Journal Article | IST-REx-ID: 6319   OA
Bretèche, Régis de la, and Timothy D. Browning. “Contre-Exemples Au Principe de Hasse Pour Certains Tores Coflasques.” Journal de Théorie Des Nombres de Bordeaux, vol. 26, no. 1, Cellule MathDoc/CEDRAM, 2014, pp. 25–44, doi:10.5802/jtnb.857.
View | DOI | Download (ext.) | arXiv
 
[58]
2014 | Journal Article | IST-REx-ID: 254
Browning, Timothy D. “The Polynomial Sieve and Equal Sums of like Polynomials.” International Mathematics Research Notices, vol. 2015, no. 7, Oxford University Press, 2014, pp. 1987–2019, doi:10.1093/imrn/rnt350.
View | DOI
 
[57]
2014 | Journal Article | IST-REx-ID: 248   OA
Browning, Timothy D., et al. “Rational Points on Pencils of Conics and Quadrics with Many Degenerate Fibres.” Annals of Mathematics, vol. 180, no. 1, John Hopkins University Press, 2014, pp. 381–402, doi:https://doi.org/10.4007/annals.2014.180.1.8.
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[56]
2014 | Journal Article | IST-REx-ID: 255
Browning, Timothy D., et al. “Rational Points on Intersections of Cubic and Quadric Hypersurfaces.” Journal of the Institute of Mathematics of Jussieu, vol. 14, no. 4, Cambridge University Press, 2014, pp. 703–49, doi:10.1017/S1474748014000127.
View | DOI
 
[55]
2013 | Journal Article | IST-REx-ID: 251
De La Bretèche, Régis, and Timothy D. Browning. “Counter Examples to the Hasse Principle among Certain Coflasque Tori.” Journal de Theorie Des Nombres de Bordeaux, vol. 26, no. 1, Universite de Bordeaux I, 2013, pp. 25–44, doi:10.5802/jtnb.857.
View | DOI
 
[54]
2013 | Journal Article | IST-REx-ID: 245   OA
Baier, Stephan, and Timothy D. Browning. “Inhomogeneous Cubic Congruences and Rational Points on Del Pezzo Surfaces.” Journal Fur Die Reine Und Angewandte Mathematik, no. 680, Walter de Gruyter, 2013, pp. 69–151, doi:10.1515/crelle.2012.039.
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[53]
2013 | Journal Article | IST-REx-ID: 246
Browning, Timothy D., and Ritabrata Munshi. “Rational Points on Singular Intersections of Quadrics.” Compositio Mathematica, vol. 149, no. 9, Cambridge University Press, 2013, pp. 1457–94, doi:10.1112/S0010437X13007185.
View | DOI
 
[52]
2013 | Journal Article | IST-REx-ID: 253
Browning, Timothy D. “Counting Rational Points on Cubic Hypersurfaces: Corrigendum.” Mathematika, vol. 60, no. 1, Unknown, 2013, pp. 101–07, doi:10.1112/S0025579313000132.
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[51]
2013 | Journal Article | IST-REx-ID: 247
Browning, Timothy D. “The Lang-Weil Estimate for Cubic Hypersurfaces.” Canadian Mathematical Bulletin, vol. 56, no. 3, Unknown, 2013, pp. 500–02, doi:10.4153/CMB-2011-177-4.
View | DOI
 
[50]
2013 | Journal Article | IST-REx-ID: 250   OA
De La Bretèche, Régis, and Timothy D. Browning. “Density of Châtelet Surfaces Failing the Hasse Principle.” Proceedings of the London Mathematical Society, vol. 108, no. 4, Oxford University Press, 2013, pp. 1030–78, doi:10.1112/plms/pdt060.
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[49]
2012 | Journal Article | IST-REx-ID: 237
De La Bretèche, Régis, et al. “On Manin’s Conjecture for a Family of Châtelet Surfaces.” Annals of Mathematics, vol. 175, no. 1, Princeton University Press, 2012, pp. 297–343, doi:10.4007/annals.2012.175.1.8.
View | DOI
 
[48]
2012 | Journal Article | IST-REx-ID: 244   OA
Browning, Timothy D., and Alan Haynes. “Incomplete Kloosterman Sums and Multiplicative Inverses in Short Intervals.” International Journal of Number Theory, vol. 9, no. 2, World Scientific Publishing, 2012, pp. 481–86, doi: https://doi.org/10.1142/S1793042112501448.
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[47]
2012 | Journal Article | IST-REx-ID: 238
Baier, Stephan, and Timothy D. Browning. “Inhomogeneous Quadratic Congruences.” Functiones et Approximatio, Commentarii Mathematici, vol. 47, no. 2, Adam Mickiewicz University Press, 2012, pp. 267–86, doi:10.7169/facm/2012.47.2.9.
View | DOI
 
[46]
2012 | Journal Article | IST-REx-ID: 240
Browning, Timothy D., and K. Van Valckenborgh. “Sums of Three Squareful Numbers.” Experimental Mathematics, vol. 21, no. 2, Taylor & Francis, 2012, pp. 204–11, doi:10.1080/10586458.2011.605733.
View | DOI
 
[45]
2012 | Journal Article | IST-REx-ID: 171   OA
Browning, Timothy D., and Stephan Baier. “Inhomogeneous Cubic Congruences and Rational Points on Del Pezzo Surfaces.” Journal Fur Die Reine Und Angewandte Mathematik, vol. 2013, no. 680, Walter de Gruyter, 2012, pp. 1–65, doi:https://doi.org/10.1515/crelle.2012.039.
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[44]
2012 | Journal Article | IST-REx-ID: 241
De La Bretèche, Régis, and Timothy D. Browning. “Binary Forms as Sums of Two Squares and Châtelet Surfaces.” Israel Journal of Mathematics, vol. 191, no. 2, Springer, 2012, pp. 973–1012, doi:10.1007/s11856-012-0019-y.
View | DOI
 
[43]
2012 | Journal Article | IST-REx-ID: 242   OA
Baier, Stephan, et al. “Averages of Shifted Convolutions of D3 (N).” Proceedings of the Edinburgh Mathematical Society, vol. 55, no. 3, Cambridge University Press, 2012, pp. 551–76, doi:10.1017/S001309151100037X.
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[42]
2012 | Journal Article | IST-REx-ID: 243
Browning, Timothy D., and Roger Heath Brown. “Quadratic Polynomials Represented by Norm Forms.” Geometric and Functional Analysis, vol. 22, no. 5, Springer Basel, 2012, pp. 1124–90, doi:10.1007/s00039-012-0168-5.
View | DOI
 
[41]
2011 | Journal Article | IST-REx-ID: 233
Browning, Timothy D. “Power-Free Values of Polynomials.” Archiv Der Mathematik, vol. 96, no. 2, Birkhäuser, 2011, pp. 139–50, doi:10.1007/s00013-011-0224-7.
View | DOI
 
[40]
2011 | Journal Article | IST-REx-ID: 234
Browning, Timothy D. “The Divisor Problem for Binary Cubic Forms.” Journal de Theorie Des Nombres de Bordeaux, vol. 23, no. 3, Universite de Bordeaux, 2011, pp. 579–602, doi:10.5802/jtnb.778.
View | DOI
 
[39]
2011 | Journal Article | IST-REx-ID: 239
Browning, Timothy D., et al. “Least Zero of a Cubic Form.” Mathematische Annalen, vol. 352, no. 3, Springer, 2011, pp. 745–78, doi:10.1007/s00208-011-0651-6.
View | DOI
 
[38]
2011 | Journal Article | IST-REx-ID: 235
Browning, Timothy D., and Christian Elsholtz. “The Number of Representations of Rationals as a Sum of Unit Fractions.” Illinois Journal of Mathematics, vol. 55, no. 2, University of Illinois Press, 2011, pp. 685–96.
View
 
[37]
2011 | Journal Article | IST-REx-ID: 236
De La Bretèche, Régis, and Timothy D. Browning. “Manin’s Conjecture for Quartic Del Pezzo Surfaces with a Conic Fibration.” Duke Mathematical Journal, vol. 160, no. 1, Duke University Press, 2011, pp. 1–69, doi:10.1215/00127094-1443466.
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[36]
2010 | Journal Article | IST-REx-ID: 6320   OA
Bretèche, Régis de la, and Timothy D. Browning. “Le Problème Des Diviseurs Pour Des Formes Binaires de Degré 4.” Crelles Journal, vol. 2010, no. 646, Walter de Gruyter GmbH, 2010, pp. 1–44, doi:10.1515/crelle.2010.064.
View | DOI | Download (ext.) | arXiv
 
[35]
2010 | Journal Article | IST-REx-ID: 231
Browning, Timothy D., and Jean Colliot Thélène. “Rational Points on Cubic Hypersurfaces That Split off a Form. With an Appendix by J-L Colliot-Thélène.” Compositio Mathematica, vol. 146, no. 4, Cambridge University Press, 2010, pp. 853–85, doi:10.1112/S0010437X0900459X.
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[34]
2009 | Book Chapter | IST-REx-ID: 168
Browning, Timothy D., and Rainer Dietmann. “Solubility of Fermat Equations.” Quadratic Forms - Algebra, Arithmetic and Geometry, vol. 493, American Mathematical Society, 2009, pp. 99–106, doi:http://dx.doi.org/10.1090/conm/493.
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[33]
2009 | Journal Article | IST-REx-ID: 226
Browning, Timothy D., and Ulrich Derenthal. “Manin’s Conjecture for a Quartic Del Pezzo Surface with A4 Singularity.” Annales de l’Institut Fourier, vol. 59, no. 3, Association des Annales de l’Institut Fourier, 2009, pp. 1231–65, doi:10.5802/aif.2462.
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[32]
2009 | Book Chapter | IST-REx-ID: 164   OA
Browning, Timothy D., and Roger Heath Brown. “Integral Points on Cubic Hypersurfaces.” Analytic Number Theory: Essays in Honour of Klaus Roth, Cambridge University Press, 2009, pp. 75–90.
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[31]
2009 | Book | IST-REx-ID: 227
Browning, Timothy D. “Quantitative Arithmetic of Projective Varieties.” Unknown (978-3-0346-0129-0), vol. 277, Birkhäuser Basel, 2009, pp. 1–160, doi:10.1007/978-3-0346-0129-0.
View | DOI
 
[30]
2009 | Conference Paper | IST-REx-ID: 165
Browning, Timothy D. Resent Progress on the Quantitative Arithmetic of Del Pezzo Surfaces. Edited by Takashi Aoki et al., vol. 6, World Scientific Publishing, 2009, pp. 1–18, doi:https://doi.org/10.1142/9789814289924_0001.
View | DOI
 
[29]
2009 | Journal Article | IST-REx-ID: 230
Browning, Timothy D., and Ulrich Derenthal. “Manin’s Conjecture for a Cubic Surface with  D 5 Singularity.” International Mathematics Research Notices, vol. 2009, no. 14, Oxford University Press, 2009, pp. 2620–47, doi:10.1093/imrn/rnp029.
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[28]
2009 | Journal Article | IST-REx-ID: 228   OA
Browning, Timothy D., and Roger Heath Brown. “Rational Points on Quartic Hypersurfaces.” Journal Fur Die Reine Und Angewandte Mathematik, no. 629, Walter de Gruyter, 2009, pp. 37–88, doi:10.1515/CRELLE.2009.026.
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[27]
2009 | Journal Article | IST-REx-ID: 229   OA
Browning, Timothy D. “Linear Growth for Châtelet Surfaces.” Mathematische Annalen, vol. 346, no. 1, Springer Nature, 2009, pp. 41–50, doi:10.1007/s00208-009-0383-z.
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[26]
2008 | Journal Article | IST-REx-ID: 225
De La Bretèche, Régis, and Timothy D. Browning. “Binary Linear Forms as Sums of Two Squares.” Compositio Mathematica, vol. 144, no. 6, Cambridge University Press, 2008, pp. 1375–402, doi:10.1112/S0010437X08003692.
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[25]
2008 | Journal Article | IST-REx-ID: 224
Browning, Timothy D., and Rainer Dietmann. “On the Representation of Integers by Quadratic Forms.” Proceedings of the London Mathematical Society, vol. 96, no. 2, John Wiley and Sons Ltd, 2008, pp. 389–416, doi:10.1112/plms/pdm032.
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[24]
2007 | Book Chapter | IST-REx-ID: 167   OA
Browning, Timothy D., and Roger Heath Brown. “Simultaneous Equal Sums of Three Powers.” Diophantine Geometry, edited by Umberto Zannier, vol. 4, Edizioni della Normale, 2007, pp. 93–100.
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[23]
2007 | Journal Article | IST-REx-ID: 220
Browning, Timothy D. “Counting Rational Points on Cubic Hypersurfaces.” Mathematika, vol. 54, no. 1–2, University College London, 2007, pp. 93–112, doi:10.1112/S0025579300000243.
View | DOI
 
[22]
2007 | Journal Article | IST-REx-ID: 219
De La Bretèche, Régis, et al. “On Manin’s Conjecture for a Certain Singular Cubic Surface.” Annales Scientifiques de l’Ecole Normale Superieure, vol. 40, no. 1, Societe Mathematique de France, 2007, pp. 1–50, doi:10.1016/j.ansens.2006.12.002.
View | DOI
 
[21]
2007 | Journal Article | IST-REx-ID: 221   OA
De La Bretèche, Régis, and Timothy D. Browning. “On Manin’s Conjecture for Singular Del Pezzo Surfaces of Degree Four, I.” Michigan Mathematical Journal, vol. 55, no. 1, Project Euclid, 2007, pp. 51–80, doi:10.1307/mmj/1177681985.
View | Files available | DOI | arXiv
 
[20]
2007 | Preprint | IST-REx-ID: 6321   OA
Browning, Timothy D. “The Manin Conjecture in Dimension 2.” Arxiv, Arxiv, 2007, pp. 1–57.
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[19]
2007 | Journal Article | IST-REx-ID: 222   OA
De La Bretèche, Régis, and Timothy D. Browning. “On Manin’s Conjecture for Singular Del Pezzo Surfaces of Degree Four, II.” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 143, no. 3, Unknown, 2007, pp. 579–605, doi:10.1017/S0305004107000205.
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[18]
2007 | Journal Article | IST-REx-ID: 223   OA
Browning, Timothy D. “Density of Integer Solutions to Diagonal Quadratic Forms.” Monatshefte Fur Mathematik, vol. 152, no. 1, Springer, 2007, pp. 13–38, doi:10.1007/s00605-007-0457-5.
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[17]
2007 | Book Chapter | IST-REx-ID: 6323   OA
Browning, Timothy D. “An Overview of Manin’s Conjecture for Del Pezzo Surfaces.” A Tribute to Gauss and Dirichlet, vol. 7, American Mathematical Society, 2007, pp. 39–56.
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[16]
2006 | Journal Article | IST-REx-ID: 213
Browning, Timothy D., et al. “The Density of Rational Points on Non-Singular Hypersurfaces, II.” Proceedings of the London Mathematical Society, vol. 93, no. 2, John Wiley and Sons Ltd, 2006, pp. 273–303, doi:https://doi.org/10.1112/S0024611506015784.
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[15]
2006 | Journal Article | IST-REx-ID: 218
De La Bretèche, Régis, and Timothy D. Browning. “Sums of Arithmetic Functions over Values of Binary Forms.” Acta Arithmetica, vol. 125, no. 3, Instytut Matematyczny, 2006, pp. 291–304, doi:10.4064/aa125-3-6.
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[14]
2006 | Journal Article | IST-REx-ID: 215
Browning, Timothy D., and Roger Heath Brown. “The Density of Rational Points on Non-Singular Hypersurfaces, I.” Bulletin of the London Mathematical Society, vol. 38, no. 3, Wiley-Blackwell, 2006, pp. 401–10, doi:10.1112/S0024609305018412.
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[13]
2006 | Journal Article | IST-REx-ID: 216
Browning, Timothy D., et al. “Counting Rational Points on Algebraic Varieties.” Duke Mathematical Journal, vol. 132, no. 3, Unknown, 2006, pp. 545–78, doi:10.1215/S0012-7094-06-13236-2.
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[12]
2005 | Journal Article | IST-REx-ID: 214   OA
Browning, Timothy D., and Roger Heath Brown. “Plane Curves in Boxes and Equal Sums of Two Powers.” Mathematische Zeitschrift, vol. 251, no. 2, Unknown, 2005, pp. 233–47, doi:10.1007/s00209-004-0719-z.
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[11]
2005 | Book | IST-REx-ID: 210
Davenport, Harold, and Timothy D. Browning. “Analytic Methods for Diophantine Equations and Diophantine Inequalities.” Analytic Methods for Diophantine Equations and Diophantine Inequalities, Cambridge University Press, 2005, pp. 1–140, doi:10.1017/CBO9780511542893.
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[10]
2005 | Journal Article | IST-REx-ID: 211
Browning, Timothy D. “Equal Sums of like Polynomials.” Bulletin of the London Mathematical Society, vol. 37, no. 6, John Wiley and Sons Ltd, 2005, pp. 801–08, doi:10.1112/S0024609305004741.
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[9]
2005 | Journal Article | IST-REx-ID: 217
Browning, Timothy D. “The Density of Rational Points on a Certain Singular Cubic Surface.” Journal of Number Theory, vol. 119, no. 2, Elsevier, 2005, pp. 242–83, doi:10.1016/j.jnt.2005.11.007.
View | DOI
 
[8]
2005 | Journal Article | IST-REx-ID: 212   OA
Browning, Timothy D., and Roger Heath Brown. “Counting Rational Points on Hypersurfaces.” Journal Fur Die Reine Und Angewandte Mathematik, no. 584, Walter de Gruyter and Co , 2005, pp. 83–115, doi:https://doi.org/10.1515/crll.2005.2005.584.83.
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[7]
2004 | Journal Article | IST-REx-ID: 209
Browning, Timothy D., and Roger Heath Brown. “Equal Sums of Three Powers.” Inventiones Mathematicae, vol. 157, no. 3, Unknown, 2004, pp. 553–73, doi:10.1007/s00222-004-0360-9.
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[6]
2003 | Journal Article | IST-REx-ID: 206
Browning, Timothy D. “A Note on the Distribution of Rational Points on Threefolds.” Quarterly Journal of Mathematics, vol. 54, no. 1, Unknown, 2003, pp. 33–39, doi:10.1093/qjmath/54.1.33.
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[5]
2003 | Journal Article | IST-REx-ID: 207
Browning, Timothy D. “Sums of Four Biquadrates.” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 134, no. 3, Cambridge University Press, 2003, pp. 385–95, doi:10.1017/S0305004102006382.
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[4]
2003 | Journal Article | IST-REx-ID: 208
Browning, Timothy D. “Counting Rational Points on Diagonal Quadratic Surfaces.” Quarterly Journal of Mathematics, vol. 54, no. 1, Oxford University Press, 2003, pp. 11–31, doi:10.1093/qjmath/54.1.11.
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[3]
2003 | Journal Article | IST-REx-ID: 166   OA
Browning, Timothy D., and M. Swarbick Jones. “Counting Rational Points on Del Pezzo Surfaces of Degree 5.” Proceedings of the Bonn Session in Analytic Number Theory and Diophantine Equations, vol. 360, Mathematisches Institut der Universität Bonn, 2003.
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[2]
2003 | Journal Article | IST-REx-ID: 205
Browning, Timothy D. “Counting Rational Points on Cubic and Quartic Surfaces.” Acta Arithmetica, vol. 108, no. 3, Instytut Matematyczny, 2003, pp. 275–95, doi:10.4064/aa108-3-7.
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[1]
2002 | Journal Article | IST-REx-ID: 204
Browning, Timothy D. “Equal Sums of Two Kth Powers.” Journal of Number Theory, vol. 96, no. 2, Academic Press, 2002, pp. 293–318, doi:10.1006/jnth.2002.2800.
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[89]
2019 | Journal Article | IST-REx-ID: 170   OA
Browning, Timothy D., and Efthymios Sofos. “Counting Rational Points on Quartic Del Pezzo Surfaces with a Rational Conic.” Mathematische Annalen, vol. 373, no. 3–4, Springer Nature, 2019, pp. 977–1016, doi:10.1007/s00208-018-1716-6.
View | Files available | DOI | arXiv
 
[88]
2019 | Journal Article | IST-REx-ID: 175   OA
Browning, Timothy D., and Daniel Loughran. “Sieving Rational Points on Varieties.” Transactions of the American Mathematical Society, vol. 371, no. 8, American Mathematical Society, 2019, pp. 5757–85.
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[87]
2019 | Journal Article | IST-REx-ID: 6310   OA
Browning, Timothy D., and L. Q. Hu. “ Counting Rational Points on Biquadratic Hypersurfaces.” Advances in Mathematics, vol. 349, Elsevier, 2019, pp. 920–40, doi:10.1016/j.aim.2019.04.031.
View | Files available | DOI | arXiv
 
[86]
2018 | Conference Paper | IST-REx-ID: 174
Browning, Timothy D. How Often Does the Hasse Principle Hold? Vol. 97, no. 2, American Mathematical Society, 2018, pp. 89–102, doi:10.1090/pspum/097.2/01700.
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[85]
2018 | Preprint | IST-REx-ID: 179   OA
Browning, Timothy D., and Roger Heath Brown. “Density of Rational Points on a Quadric Bundle in ℙ3×ℙ3.” Unknown, Unknown, 2018, pp. 1–60.
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[84]
2018 | Preprint | IST-REx-ID: 176   OA
Browning, Timothy D., and Efthymios Sofos. “Averages of Arithmetic Functions over Principal Ideals.” International Journal of Nuber Theory, World Scientific Publishing, 2018, pp. 1–22.
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[83]
2018 | Journal Article | IST-REx-ID: 178   OA
Browning, Timothy D., and Roger Heath-Brown. “Counting Rational Points on Quadric Surfaces.” Discrete Analysis, Alliance of Diamond Open Access Journals, 2018, pp. 1–31, doi:10.19086/da.4375.
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[82]
2017 | Journal Article | IST-REx-ID: 268   OA
Browning, Timothy D., and Sean Prendiville. “A Transference Approach to a Roth-Type Theorem in the Squares.” International Mathematics Research Notices, vol. 2017, no. 7, Oxford University Press, 2017, pp. 2219–48, doi:10.1093/imrn/rnw096.
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[81]
2017 | Journal Article | IST-REx-ID: 270   OA
Browning, Timothy D., and Alexander Gorodnik. “Power-Free Values of Polynomials on Symmetric Varieties.” Proceedings of the London Mathematical Society, vol. 114, no. 6, Wiley Blackwell, 2017, pp. 1044–80, doi:10.1112/plms.12030.
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[80]
2017 | Journal Article | IST-REx-ID: 269   OA
Browning, Timothy D., and Daniel Loughran. “Varieties with Too Many Rational Points.” Mathematische Zeitschrift, vol. 285, no. 3–4, Springer, 2017, pp. 1249–67, doi:10.1007/s00209-016-1746-2.
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[79]
2017 | Journal Article | IST-REx-ID: 271   OA
Browning, Timothy D., and Sean Prendiville. “Improvements in Birch’s Theorem on Forms in Many Variables.” Journal Fur Die Reine Und Angewandte Mathematik, vol. 2017, no. 731, Walter de Gruyter, 2017, pp. 203–34, doi:doi.org/10.1515/crelle-2014-0122.
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[78]
2017 | Journal Article | IST-REx-ID: 169   OA
Browning, Timothy D., et al. “Twisted Linnik Implies Optimal Covering Exponent for S3.” International Mathematics Research Notices, Oxford University Press, 2017, doi:https://doi.org/10.1093/imrn/rnx116.
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[77]
2017 | Journal Article | IST-REx-ID: 265
Browning, Timothy D., and Pankaj Vishe. “Rational Curves on Smooth Hypersurfaces of Low Degree.” Geometric Methods in Algebra and Number Theory, vol. 11, no. 7, Mathematical Sciences Publishers, 2017, pp. 1657–75, doi:10.2140/ant.2017.11.1657.
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[76]
2017 | Journal Article | IST-REx-ID: 272   OA
Browning, Timothy D., and Lilian Matthiesen. “Norm Forms for Arbitrary Number Fields as Products of Linear Polynomials.” Annales Scientifiques de l’Ecole Normale Superieure, vol. 50, no. 6, Societe Mathematique de France, 2017, pp. 1383–446, doi:10.24033/asens.2348.
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[75]
2017 | Preprint | IST-REx-ID: 177   OA
Browning, Timothy D., and Will Sawin. “A Geometric Version of the Circle Method.” Unknown, Unknown, 2017, pp. 1–47.
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[74]
2017 | Journal Article | IST-REx-ID: 172   OA
Browning, Timothy D., and Damaris Schindler. “Strong Approximation and a Conjecture of Harpaz and Wittenberg.” International Mathematics Research Notices, Oxford University Press, 2017, doi:https://doi.org/10.1093/imrn/rnx252.
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[73]
2017 | Journal Article | IST-REx-ID: 266   OA
Browning, Timothy D., and Roger Heath Brown. “Forms in Many Variables and Differing Degrees.” Journal of the European Mathematical Society, vol. 19, no. 2, European Mathematical Society Publishing House, 2017, pp. 357–94, doi:10.4171/JEMS/668.
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[72]
2017 | Journal Article | IST-REx-ID: 267
Browning, Timothy D. “Many Cubic Surfaces Contain Rational Points.” Mathematika, vol. 63, no. 3, Cambridge University Press, 2017, pp. 818–39, doi:10.1112/S0025579317000195.
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[71]
2016 | Journal Article | IST-REx-ID: 263   OA
De La Bretèche, Régis, et al. “Counting Rational Points on the Cayley Ruled Cubic.” European Journal of Mathematics, vol. 2, no. 1, Springer Nature, 2016, pp. 55–72, doi:10.1007/s40879-015-0049-1.
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[70]
2016 | Journal Article | IST-REx-ID: 264   OA
Bright, Maritn, et al. “Failures of Weak Approximation in Families.” Compositio Mathematica, vol. 152, no. 7, Cambridge University Press, 2016, pp. 1435–75, doi:10.1112/S0010437X16007405.
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[69]
2016 | Journal Article | IST-REx-ID: 261
Browning, Timothy D., and Ilya Vinogradov. “Effective Ratner Theorem for SL (2, R) ⋉R2 and Gaps in √n modulo 1.” Journal of the London Mathematical Society, vol. 94, no. 1, John Wiley and Sons Ltd, 2016, pp. 61–84, doi:10.1112/jlms/jdw025.
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[68]
2016 | Journal Article | IST-REx-ID: 173   OA
Browning, Timothy D., and Andrew Booker. “Square-Free Values of Reducible Polynomials.” Discrete Analysis, vol. 8, Unknown, 2016, pp. 1–18.
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[67]
2016 | Journal Article | IST-REx-ID: 262   OA
Browning, Timothy D., and Rachel Newton. “The Proportion of Failures of the Hasse Norm Principle.” Mathematika, vol. 62, no. 2, Cambridge University Press, 2016, pp. 337–47, doi:10.1112/S0025579315000261.
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[66]
2015 | Journal Article | IST-REx-ID: 256   OA
Browning, Timothy D., and Sean Prendiville. “Improvements in Birch’s Theorem on Forms in Many Variables.” Journal Fur Die Reine Und Angewandte Mathematik, vol. 2017, no. 731, Walter de Gruyter, 2015, doi:10.1515/crelle-2014-0122.
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[65]
2015 | Journal Article | IST-REx-ID: 257   OA
Browning, Timothy D., and Ritabrata Munshi. “Pairs of Diagonal Quadratic Forms and Linear Correlations among Sums of Two Squares.” Forum Mathematicum, vol. 27, no. 4, Walter de Gruyter GmbH, 2015, pp. 2025–50, doi:10.1515/forum-2013-6024.
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[64]
2015 | Journal Article | IST-REx-ID: 260
Browning, Timothy D., et al. “Erratum Rational Points on Intersections of Cubic and Quadric Hypersurfaces.” Journal of the Institute of Mathematics of Jussieu, vol. 14, no. 4, Cambridge University Press, 2015, doi:10.1017/S1474748014000279.
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[63]
2015 | Book Chapter | IST-REx-ID: 258
Browning, Timothy D. “A Survey of Applications of the Circle Method to Rational Points.” Arithmetic and Geometry, Cambridge University Press, 2015, pp. 89–113, doi:10.1017/CBO9781316106877.009.
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[62]
2015 | Journal Article | IST-REx-ID: 259
Browning, Timothy D., and Pankaj Vishe. “Rational Points on Cubic Hypersurfaces over F_q(T) .” Geometric and Functional Analysis, vol. 25, no. 3, Birkhäuser, 2015, pp. 671–732, doi:10.1007/s00039-015-0328-5.
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[61]
2014 | Journal Article | IST-REx-ID: 249
Browning, Timothy D., and Pankaj Vishe. “Cubic Hypersurfaces and a Version of the Circle Method for Number Fields.” Duke Mathematical Journal, vol. 163, no. 10, Duke University Press, 2014, pp. 1825–83, doi:10.1215/00127094-2738530.
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[60]
2014 | Journal Article | IST-REx-ID: 252
Browning, Timothy D., and Michael Jones. “Counting Rational Points on Del Pezzo Surfaces with a Conic Bundle Structure.” Acta Arithmetica, vol. 163, no. 3, Instytut Matematyczny, 2014, pp. 271–98, doi:10.4064/aa163-3-6.
View | DOI
 
[59]
2014 | Journal Article | IST-REx-ID: 6319   OA
Bretèche, Régis de la, and Timothy D. Browning. “Contre-Exemples Au Principe de Hasse Pour Certains Tores Coflasques.” Journal de Théorie Des Nombres de Bordeaux, vol. 26, no. 1, Cellule MathDoc/CEDRAM, 2014, pp. 25–44, doi:10.5802/jtnb.857.
View | DOI | Download (ext.) | arXiv
 
[58]
2014 | Journal Article | IST-REx-ID: 254
Browning, Timothy D. “The Polynomial Sieve and Equal Sums of like Polynomials.” International Mathematics Research Notices, vol. 2015, no. 7, Oxford University Press, 2014, pp. 1987–2019, doi:10.1093/imrn/rnt350.
View | DOI
 
[57]
2014 | Journal Article | IST-REx-ID: 248   OA
Browning, Timothy D., et al. “Rational Points on Pencils of Conics and Quadrics with Many Degenerate Fibres.” Annals of Mathematics, vol. 180, no. 1, John Hopkins University Press, 2014, pp. 381–402, doi:https://doi.org/10.4007/annals.2014.180.1.8.
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[56]
2014 | Journal Article | IST-REx-ID: 255
Browning, Timothy D., et al. “Rational Points on Intersections of Cubic and Quadric Hypersurfaces.” Journal of the Institute of Mathematics of Jussieu, vol. 14, no. 4, Cambridge University Press, 2014, pp. 703–49, doi:10.1017/S1474748014000127.
View | DOI
 
[55]
2013 | Journal Article | IST-REx-ID: 251
De La Bretèche, Régis, and Timothy D. Browning. “Counter Examples to the Hasse Principle among Certain Coflasque Tori.” Journal de Theorie Des Nombres de Bordeaux, vol. 26, no. 1, Universite de Bordeaux I, 2013, pp. 25–44, doi:10.5802/jtnb.857.
View | DOI
 
[54]
2013 | Journal Article | IST-REx-ID: 245   OA
Baier, Stephan, and Timothy D. Browning. “Inhomogeneous Cubic Congruences and Rational Points on Del Pezzo Surfaces.” Journal Fur Die Reine Und Angewandte Mathematik, no. 680, Walter de Gruyter, 2013, pp. 69–151, doi:10.1515/crelle.2012.039.
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[53]
2013 | Journal Article | IST-REx-ID: 246
Browning, Timothy D., and Ritabrata Munshi. “Rational Points on Singular Intersections of Quadrics.” Compositio Mathematica, vol. 149, no. 9, Cambridge University Press, 2013, pp. 1457–94, doi:10.1112/S0010437X13007185.
View | DOI
 
[52]
2013 | Journal Article | IST-REx-ID: 253
Browning, Timothy D. “Counting Rational Points on Cubic Hypersurfaces: Corrigendum.” Mathematika, vol. 60, no. 1, Unknown, 2013, pp. 101–07, doi:10.1112/S0025579313000132.
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[51]
2013 | Journal Article | IST-REx-ID: 247
Browning, Timothy D. “The Lang-Weil Estimate for Cubic Hypersurfaces.” Canadian Mathematical Bulletin, vol. 56, no. 3, Unknown, 2013, pp. 500–02, doi:10.4153/CMB-2011-177-4.
View | DOI
 
[50]
2013 | Journal Article | IST-REx-ID: 250   OA
De La Bretèche, Régis, and Timothy D. Browning. “Density of Châtelet Surfaces Failing the Hasse Principle.” Proceedings of the London Mathematical Society, vol. 108, no. 4, Oxford University Press, 2013, pp. 1030–78, doi:10.1112/plms/pdt060.
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[49]
2012 | Journal Article | IST-REx-ID: 237
De La Bretèche, Régis, et al. “On Manin’s Conjecture for a Family of Châtelet Surfaces.” Annals of Mathematics, vol. 175, no. 1, Princeton University Press, 2012, pp. 297–343, doi:10.4007/annals.2012.175.1.8.
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[48]
2012 | Journal Article | IST-REx-ID: 244   OA
Browning, Timothy D., and Alan Haynes. “Incomplete Kloosterman Sums and Multiplicative Inverses in Short Intervals.” International Journal of Number Theory, vol. 9, no. 2, World Scientific Publishing, 2012, pp. 481–86, doi: https://doi.org/10.1142/S1793042112501448.
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[47]
2012 | Journal Article | IST-REx-ID: 238
Baier, Stephan, and Timothy D. Browning. “Inhomogeneous Quadratic Congruences.” Functiones et Approximatio, Commentarii Mathematici, vol. 47, no. 2, Adam Mickiewicz University Press, 2012, pp. 267–86, doi:10.7169/facm/2012.47.2.9.
View | DOI
 
[46]
2012 | Journal Article | IST-REx-ID: 240
Browning, Timothy D., and K. Van Valckenborgh. “Sums of Three Squareful Numbers.” Experimental Mathematics, vol. 21, no. 2, Taylor & Francis, 2012, pp. 204–11, doi:10.1080/10586458.2011.605733.
View | DOI
 
[45]
2012 | Journal Article | IST-REx-ID: 171   OA
Browning, Timothy D., and Stephan Baier. “Inhomogeneous Cubic Congruences and Rational Points on Del Pezzo Surfaces.” Journal Fur Die Reine Und Angewandte Mathematik, vol. 2013, no. 680, Walter de Gruyter, 2012, pp. 1–65, doi:https://doi.org/10.1515/crelle.2012.039.
View | DOI | Download (ext.)
 
[44]
2012 | Journal Article | IST-REx-ID: 241
De La Bretèche, Régis, and Timothy D. Browning. “Binary Forms as Sums of Two Squares and Châtelet Surfaces.” Israel Journal of Mathematics, vol. 191, no. 2, Springer, 2012, pp. 973–1012, doi:10.1007/s11856-012-0019-y.
View | DOI
 
[43]
2012 | Journal Article | IST-REx-ID: 242   OA
Baier, Stephan, et al. “Averages of Shifted Convolutions of D3 (N).” Proceedings of the Edinburgh Mathematical Society, vol. 55, no. 3, Cambridge University Press, 2012, pp. 551–76, doi:10.1017/S001309151100037X.
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[42]
2012 | Journal Article | IST-REx-ID: 243
Browning, Timothy D., and Roger Heath Brown. “Quadratic Polynomials Represented by Norm Forms.” Geometric and Functional Analysis, vol. 22, no. 5, Springer Basel, 2012, pp. 1124–90, doi:10.1007/s00039-012-0168-5.
View | DOI
 
[41]
2011 | Journal Article | IST-REx-ID: 233
Browning, Timothy D. “Power-Free Values of Polynomials.” Archiv Der Mathematik, vol. 96, no. 2, Birkhäuser, 2011, pp. 139–50, doi:10.1007/s00013-011-0224-7.
View | DOI
 
[40]
2011 | Journal Article | IST-REx-ID: 234
Browning, Timothy D. “The Divisor Problem for Binary Cubic Forms.” Journal de Theorie Des Nombres de Bordeaux, vol. 23, no. 3, Universite de Bordeaux, 2011, pp. 579–602, doi:10.5802/jtnb.778.
View | DOI
 
[39]
2011 | Journal Article | IST-REx-ID: 239
Browning, Timothy D., et al. “Least Zero of a Cubic Form.” Mathematische Annalen, vol. 352, no. 3, Springer, 2011, pp. 745–78, doi:10.1007/s00208-011-0651-6.
View | DOI
 
[38]
2011 | Journal Article | IST-REx-ID: 235
Browning, Timothy D., and Christian Elsholtz. “The Number of Representations of Rationals as a Sum of Unit Fractions.” Illinois Journal of Mathematics, vol. 55, no. 2, University of Illinois Press, 2011, pp. 685–96.
View
 
[37]
2011 | Journal Article | IST-REx-ID: 236
De La Bretèche, Régis, and Timothy D. Browning. “Manin’s Conjecture for Quartic Del Pezzo Surfaces with a Conic Fibration.” Duke Mathematical Journal, vol. 160, no. 1, Duke University Press, 2011, pp. 1–69, doi:10.1215/00127094-1443466.
View | DOI
 
[36]
2010 | Journal Article | IST-REx-ID: 6320   OA
Bretèche, Régis de la, and Timothy D. Browning. “Le Problème Des Diviseurs Pour Des Formes Binaires de Degré 4.” Crelles Journal, vol. 2010, no. 646, Walter de Gruyter GmbH, 2010, pp. 1–44, doi:10.1515/crelle.2010.064.
View | DOI | Download (ext.) | arXiv
 
[35]
2010 | Journal Article | IST-REx-ID: 231
Browning, Timothy D., and Jean Colliot Thélène. “Rational Points on Cubic Hypersurfaces That Split off a Form. With an Appendix by J-L Colliot-Thélène.” Compositio Mathematica, vol. 146, no. 4, Cambridge University Press, 2010, pp. 853–85, doi:10.1112/S0010437X0900459X.
View | DOI
 
[34]
2009 | Book Chapter | IST-REx-ID: 168
Browning, Timothy D., and Rainer Dietmann. “Solubility of Fermat Equations.” Quadratic Forms - Algebra, Arithmetic and Geometry, vol. 493, American Mathematical Society, 2009, pp. 99–106, doi:http://dx.doi.org/10.1090/conm/493.
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[33]
2009 | Journal Article | IST-REx-ID: 226
Browning, Timothy D., and Ulrich Derenthal. “Manin’s Conjecture for a Quartic Del Pezzo Surface with A4 Singularity.” Annales de l’Institut Fourier, vol. 59, no. 3, Association des Annales de l’Institut Fourier, 2009, pp. 1231–65, doi:10.5802/aif.2462.
View | DOI
 
[32]
2009 | Book Chapter | IST-REx-ID: 164   OA
Browning, Timothy D., and Roger Heath Brown. “Integral Points on Cubic Hypersurfaces.” Analytic Number Theory: Essays in Honour of Klaus Roth, Cambridge University Press, 2009, pp. 75–90.
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[31]
2009 | Book | IST-REx-ID: 227
Browning, Timothy D. “Quantitative Arithmetic of Projective Varieties.” Unknown (978-3-0346-0129-0), vol. 277, Birkhäuser Basel, 2009, pp. 1–160, doi:10.1007/978-3-0346-0129-0.
View | DOI
 
[30]
2009 | Conference Paper | IST-REx-ID: 165
Browning, Timothy D. Resent Progress on the Quantitative Arithmetic of Del Pezzo Surfaces. Edited by Takashi Aoki et al., vol. 6, World Scientific Publishing, 2009, pp. 1–18, doi:https://doi.org/10.1142/9789814289924_0001.
View | DOI
 
[29]
2009 | Journal Article | IST-REx-ID: 230
Browning, Timothy D., and Ulrich Derenthal. “Manin’s Conjecture for a Cubic Surface with  D 5 Singularity.” International Mathematics Research Notices, vol. 2009, no. 14, Oxford University Press, 2009, pp. 2620–47, doi:10.1093/imrn/rnp029.
View | DOI
 
[28]
2009 | Journal Article | IST-REx-ID: 228   OA
Browning, Timothy D., and Roger Heath Brown. “Rational Points on Quartic Hypersurfaces.” Journal Fur Die Reine Und Angewandte Mathematik, no. 629, Walter de Gruyter, 2009, pp. 37–88, doi:10.1515/CRELLE.2009.026.
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[27]
2009 | Journal Article | IST-REx-ID: 229   OA
Browning, Timothy D. “Linear Growth for Châtelet Surfaces.” Mathematische Annalen, vol. 346, no. 1, Springer Nature, 2009, pp. 41–50, doi:10.1007/s00208-009-0383-z.
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[26]
2008 | Journal Article | IST-REx-ID: 225
De La Bretèche, Régis, and Timothy D. Browning. “Binary Linear Forms as Sums of Two Squares.” Compositio Mathematica, vol. 144, no. 6, Cambridge University Press, 2008, pp. 1375–402, doi:10.1112/S0010437X08003692.
View | DOI
 
[25]
2008 | Journal Article | IST-REx-ID: 224
Browning, Timothy D., and Rainer Dietmann. “On the Representation of Integers by Quadratic Forms.” Proceedings of the London Mathematical Society, vol. 96, no. 2, John Wiley and Sons Ltd, 2008, pp. 389–416, doi:10.1112/plms/pdm032.
View | DOI
 
[24]
2007 | Book Chapter | IST-REx-ID: 167   OA
Browning, Timothy D., and Roger Heath Brown. “Simultaneous Equal Sums of Three Powers.” Diophantine Geometry, edited by Umberto Zannier, vol. 4, Edizioni della Normale, 2007, pp. 93–100.
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[23]
2007 | Journal Article | IST-REx-ID: 220
Browning, Timothy D. “Counting Rational Points on Cubic Hypersurfaces.” Mathematika, vol. 54, no. 1–2, University College London, 2007, pp. 93–112, doi:10.1112/S0025579300000243.
View | DOI
 
[22]
2007 | Journal Article | IST-REx-ID: 219
De La Bretèche, Régis, et al. “On Manin’s Conjecture for a Certain Singular Cubic Surface.” Annales Scientifiques de l’Ecole Normale Superieure, vol. 40, no. 1, Societe Mathematique de France, 2007, pp. 1–50, doi:10.1016/j.ansens.2006.12.002.
View | DOI
 
[21]
2007 | Journal Article | IST-REx-ID: 221   OA
De La Bretèche, Régis, and Timothy D. Browning. “On Manin’s Conjecture for Singular Del Pezzo Surfaces of Degree Four, I.” Michigan Mathematical Journal, vol. 55, no. 1, Project Euclid, 2007, pp. 51–80, doi:10.1307/mmj/1177681985.
View | Files available | DOI | arXiv
 
[20]
2007 | Preprint | IST-REx-ID: 6321   OA
Browning, Timothy D. “The Manin Conjecture in Dimension 2.” Arxiv, Arxiv, 2007, pp. 1–57.
View | Download (ext.) | arXiv
 
[19]
2007 | Journal Article | IST-REx-ID: 222   OA
De La Bretèche, Régis, and Timothy D. Browning. “On Manin’s Conjecture for Singular Del Pezzo Surfaces of Degree Four, II.” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 143, no. 3, Unknown, 2007, pp. 579–605, doi:10.1017/S0305004107000205.
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[18]
2007 | Journal Article | IST-REx-ID: 223   OA
Browning, Timothy D. “Density of Integer Solutions to Diagonal Quadratic Forms.” Monatshefte Fur Mathematik, vol. 152, no. 1, Springer, 2007, pp. 13–38, doi:10.1007/s00605-007-0457-5.
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[17]
2007 | Book Chapter | IST-REx-ID: 6323   OA
Browning, Timothy D. “An Overview of Manin’s Conjecture for Del Pezzo Surfaces.” A Tribute to Gauss and Dirichlet, vol. 7, American Mathematical Society, 2007, pp. 39–56.
View | Download (ext.) | arXiv
 
[16]
2006 | Journal Article | IST-REx-ID: 213
Browning, Timothy D., et al. “The Density of Rational Points on Non-Singular Hypersurfaces, II.” Proceedings of the London Mathematical Society, vol. 93, no. 2, John Wiley and Sons Ltd, 2006, pp. 273–303, doi:https://doi.org/10.1112/S0024611506015784.
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[15]
2006 | Journal Article | IST-REx-ID: 218
De La Bretèche, Régis, and Timothy D. Browning. “Sums of Arithmetic Functions over Values of Binary Forms.” Acta Arithmetica, vol. 125, no. 3, Instytut Matematyczny, 2006, pp. 291–304, doi:10.4064/aa125-3-6.
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[14]
2006 | Journal Article | IST-REx-ID: 215
Browning, Timothy D., and Roger Heath Brown. “The Density of Rational Points on Non-Singular Hypersurfaces, I.” Bulletin of the London Mathematical Society, vol. 38, no. 3, Wiley-Blackwell, 2006, pp. 401–10, doi:10.1112/S0024609305018412.
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[13]
2006 | Journal Article | IST-REx-ID: 216
Browning, Timothy D., et al. “Counting Rational Points on Algebraic Varieties.” Duke Mathematical Journal, vol. 132, no. 3, Unknown, 2006, pp. 545–78, doi:10.1215/S0012-7094-06-13236-2.
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[12]
2005 | Journal Article | IST-REx-ID: 214   OA
Browning, Timothy D., and Roger Heath Brown. “Plane Curves in Boxes and Equal Sums of Two Powers.” Mathematische Zeitschrift, vol. 251, no. 2, Unknown, 2005, pp. 233–47, doi:10.1007/s00209-004-0719-z.
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[11]
2005 | Book | IST-REx-ID: 210
Davenport, Harold, and Timothy D. Browning. “Analytic Methods for Diophantine Equations and Diophantine Inequalities.” Analytic Methods for Diophantine Equations and Diophantine Inequalities, Cambridge University Press, 2005, pp. 1–140, doi:10.1017/CBO9780511542893.
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[10]
2005 | Journal Article | IST-REx-ID: 211
Browning, Timothy D. “Equal Sums of like Polynomials.” Bulletin of the London Mathematical Society, vol. 37, no. 6, John Wiley and Sons Ltd, 2005, pp. 801–08, doi:10.1112/S0024609305004741.
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[9]
2005 | Journal Article | IST-REx-ID: 217
Browning, Timothy D. “The Density of Rational Points on a Certain Singular Cubic Surface.” Journal of Number Theory, vol. 119, no. 2, Elsevier, 2005, pp. 242–83, doi:10.1016/j.jnt.2005.11.007.
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[8]
2005 | Journal Article | IST-REx-ID: 212   OA
Browning, Timothy D., and Roger Heath Brown. “Counting Rational Points on Hypersurfaces.” Journal Fur Die Reine Und Angewandte Mathematik, no. 584, Walter de Gruyter and Co , 2005, pp. 83–115, doi:https://doi.org/10.1515/crll.2005.2005.584.83.
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[7]
2004 | Journal Article | IST-REx-ID: 209
Browning, Timothy D., and Roger Heath Brown. “Equal Sums of Three Powers.” Inventiones Mathematicae, vol. 157, no. 3, Unknown, 2004, pp. 553–73, doi:10.1007/s00222-004-0360-9.
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[6]
2003 | Journal Article | IST-REx-ID: 206
Browning, Timothy D. “A Note on the Distribution of Rational Points on Threefolds.” Quarterly Journal of Mathematics, vol. 54, no. 1, Unknown, 2003, pp. 33–39, doi:10.1093/qjmath/54.1.33.
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[5]
2003 | Journal Article | IST-REx-ID: 207
Browning, Timothy D. “Sums of Four Biquadrates.” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 134, no. 3, Cambridge University Press, 2003, pp. 385–95, doi:10.1017/S0305004102006382.
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[4]
2003 | Journal Article | IST-REx-ID: 208
Browning, Timothy D. “Counting Rational Points on Diagonal Quadratic Surfaces.” Quarterly Journal of Mathematics, vol. 54, no. 1, Oxford University Press, 2003, pp. 11–31, doi:10.1093/qjmath/54.1.11.
View | DOI
 
[3]
2003 | Journal Article | IST-REx-ID: 166   OA
Browning, Timothy D., and M. Swarbick Jones. “Counting Rational Points on Del Pezzo Surfaces of Degree 5.” Proceedings of the Bonn Session in Analytic Number Theory and Diophantine Equations, vol. 360, Mathematisches Institut der Universität Bonn, 2003.
View | Download (ext.) | arXiv
 
[2]
2003 | Journal Article | IST-REx-ID: 205
Browning, Timothy D. “Counting Rational Points on Cubic and Quartic Surfaces.” Acta Arithmetica, vol. 108, no. 3, Instytut Matematyczny, 2003, pp. 275–95, doi:10.4064/aa108-3-7.
View | DOI
 
[1]
2002 | Journal Article | IST-REx-ID: 204
Browning, Timothy D. “Equal Sums of Two Kth Powers.” Journal of Number Theory, vol. 96, no. 2, Academic Press, 2002, pp. 293–318, doi:10.1006/jnth.2002.2800.
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