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 373, no. 3–4 (2019): 977–1016. https://doi.org/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 371, no. 8 (2019): 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 349 (2019): 920–40. https://doi.org/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?,” 97:89–102. American Mathematical Society, 2018. https://doi.org/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.
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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.
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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, 2018, 1–31. https://doi.org/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 2017, no. 7 (2017): 2219–48. https://doi.org/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 114, no. 6 (2017): 1044–80. https://doi.org/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 285, no. 3–4 (2017): 1249–67. https://doi.org/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 2017, no. 731 (2017): 203–34. https://doi.org/doi.org/10.1515/crelle-2014-0122.
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[78]
2017 | Journal Article | IST-REx-ID: 169   OA
Browning, Timothy D, Vinay Kumaraswamy, and Rapael Steiner. “Twisted Linnik Implies Optimal Covering Exponent for S3.” International Mathematics Research Notices, 2017. 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 11, no. 7 (2017): 1657–75. https://doi.org/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 50, no. 6 (2017): 1383–1446. https://doi.org/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.
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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, 2017. 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 19, no. 2 (2017): 357–94. https://doi.org/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 63, no. 3 (2017): 818–39. https://doi.org/10.1112/S0025579317000195.
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[71]
2016 | Journal Article | IST-REx-ID: 263   OA
De La Bretèche, Régis, Timothy D Browning, and Per Salberger. “Counting Rational Points on the Cayley Ruled Cubic.” European Journal of Mathematics 2, no. 1 (2016): 55–72. https://doi.org/10.1007/s40879-015-0049-1.
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[70]
2016 | Journal Article | IST-REx-ID: 264   OA
Bright, Maritn, Timothy D Browning, and Daniel Loughran. “Failures of Weak Approximation in Families.” Compositio Mathematica 152, no. 7 (2016): 1435–75. https://doi.org/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 94, no. 1 (2016): 61–84. https://doi.org/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 8 (2016): 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 62, no. 2 (2016): 337–47. https://doi.org/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 2017, no. 731 (2015). https://doi.org/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 27, no. 4 (2015): 2025–50. https://doi.org/10.1515/forum-2013-6024.
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[64]
2015 | Journal Article | IST-REx-ID: 260
Browning, Timothy D, Rainer Dietmann, and Roger Heath Brown. “Erratum Rational Points on Intersections of Cubic and Quadric Hypersurfaces.” Journal of the Institute of Mathematics of Jussieu 14, no. 4 (2015). https://doi.org/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.” In Arithmetic and Geometry, 89–113. Cambridge University Press, 2015. https://doi.org/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 25, no. 3 (2015): 671–732. https://doi.org/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 163, no. 10 (2014): 1825–83. https://doi.org/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 163, no. 3 (2014): 271–98. https://doi.org/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 26, no. 1 (2014): 25–44. https://doi.org/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 2015, no. 7 (2014): 1987–2019. https://doi.org/10.1093/imrn/rnt350.
View | DOI
 
[57]
2014 | Journal Article | IST-REx-ID: 248   OA
Browning, Timothy D, Lilian Matthiesen, and Alexei Skorobogatov. “Rational Points on Pencils of Conics and Quadrics with Many Degenerate Fibres.” Annals of Mathematics 180, no. 1 (2014): 381–402. 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, Rainer Dietmann, and Roger Heath Brown. “Rational Points on Intersections of Cubic and Quadric Hypersurfaces.” Journal of the Institute of Mathematics of Jussieu 14, no. 4 (2014): 703–49. https://doi.org/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 26, no. 1 (2013): 25–44. https://doi.org/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 (2013): 69–151. https://doi.org/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 149, no. 9 (2013): 1457–94. https://doi.org/10.1112/S0010437X13007185.
View | DOI
 
[52]
2013 | Journal Article | IST-REx-ID: 253
Browning, Timothy D. “Counting Rational Points on Cubic Hypersurfaces: Corrigendum.” Mathematika 60, no. 1 (2013): 101–7. https://doi.org/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 56, no. 3 (2013): 500–502. https://doi.org/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 108, no. 4 (2013): 1030–78. https://doi.org/10.1112/plms/pdt060.
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[49]
2012 | Journal Article | IST-REx-ID: 237
De La Bretèche, Régis, Timothy D Browning, and Emmanuel Peyre. “On Manin’s Conjecture for a Family of Châtelet Surfaces.” Annals of Mathematics 175, no. 1 (2012): 297–343. https://doi.org/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 9, no. 2 (2012): 481–86. https://doi.org/ 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 47, no. 2 (2012): 267–86. https://doi.org/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 21, no. 2 (2012): 204–11. https://doi.org/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 2013, no. 680 (2012): 1–65. 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 191, no. 2 (2012): 973–1012. https://doi.org/10.1007/s11856-012-0019-y.
View | DOI
 
[43]
2012 | Journal Article | IST-REx-ID: 242   OA
Baier, Stephan, Timothy D Browning, Gihan Marasingha, and Liangyi Zhao. “Averages of Shifted Convolutions of D3 (N).” Proceedings of the Edinburgh Mathematical Society 55, no. 3 (2012): 551–76. https://doi.org/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 22, no. 5 (2012): 1124–90. https://doi.org/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 96, no. 2 (2011): 139–50. https://doi.org/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 23, no. 3 (2011): 579–602. https://doi.org/10.5802/jtnb.778.
View | DOI
 
[39]
2011 | Journal Article | IST-REx-ID: 239
Browning, Timothy D, Rainer Dietmann, and Peter Elliott. “Least Zero of a Cubic Form.” Mathematische Annalen 352, no. 3 (2011): 745–78. https://doi.org/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 55, no. 2 (2011): 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 160, no. 1 (2011): 1–69. https://doi.org/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 2010, no. 646 (2010): 1–44. https://doi.org/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 146, no. 4 (2010): 853–85. https://doi.org/10.1112/S0010437X0900459X.
View | DOI
 
[34]
2009 | Book Chapter | IST-REx-ID: 168
Browning, Timothy D, and Rainer Dietmann. “Solubility of Fermat Equations.” In Quadratic Forms - Algebra, Arithmetic and Geometry, 493:99–106. American Mathematical Society, 2009. 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 59, no. 3 (2009): 1231–65. https://doi.org/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.” In Analytic Number Theory: Essays in Honour of Klaus Roth, 75–90. Cambridge University Press, 2009.
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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. https://doi.org/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, Shigeru Kanemitsu, and Jianya Liu, 6:1–18. World Scientific Publishing, 2009. https://doi.org/10.1142/9789814289924_0001.
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[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 2009, no. 14 (2009): 2620–47. https://doi.org/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 (2009): 37–88. https://doi.org/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 346, no. 1 (2009): 41–50. https://doi.org/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 144, no. 6 (2008): 1375–1402. https://doi.org/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 96, no. 2 (2008): 389–416. https://doi.org/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.” In Diophantine Geometry, edited by Umberto Zannier, 4:93–100. Edizioni della Normale, 2007.
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[23]
2007 | Journal Article | IST-REx-ID: 220
Browning, Timothy D. “Counting Rational Points on Cubic Hypersurfaces.” Mathematika 54, no. 1–2 (2007): 93–112. https://doi.org/10.1112/S0025579300000243.
View | DOI
 
[22]
2007 | Journal Article | IST-REx-ID: 219
De La Bretèche, Régis, Timothy D Browning, and Ulrich Derenthal. “On Manin’s Conjecture for a Certain Singular Cubic Surface.” Annales Scientifiques de l’Ecole Normale Superieure 40, no. 1 (2007): 1–50. https://doi.org/10.1016/j.ansens.2006.12.002.
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[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 55, no. 1 (2007): 51–80. https://doi.org/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.
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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 143, no. 3 (2007): 579–605. https://doi.org/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 152, no. 1 (2007): 13–38. https://doi.org/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.” In Analytic Number Theory, Vol. 7. A Tribute to Gauss and Dirichlet, 2007.
View | Download (ext.) | arXiv
 
[16]
2006 | Journal Article | IST-REx-ID: 213
Browning, Timothy D, Roger Heath Brown, and Jason Starr. “The Density of Rational Points on Non-Singular Hypersurfaces, II.” Proceedings of the London Mathematical Society 93, no. 2 (2006): 273–303. 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 125, no. 3 (2006): 291–304. https://doi.org/10.4064/aa125-3-6.
View | DOI
 
[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 38, no. 3 (2006): 401–10. https://doi.org/10.1112/S0024609305018412.
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[13]
2006 | Journal Article | IST-REx-ID: 216
Browning, Timothy D, Roger Heath Brown, and Per Salberger. “Counting Rational Points on Algebraic Varieties.” Duke Mathematical Journal 132, no. 3 (2006): 545–78. https://doi.org/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 251, no. 2 (2005): 233–47. https://doi.org/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. https://doi.org/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 37, no. 6 (2005): 801–8. https://doi.org/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 119, no. 2 (2005): 242–83. https://doi.org/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 (2005): 83–115. 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 157, no. 3 (2004): 553–73. https://doi.org/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 54, no. 1 (2003): 33–39. https://doi.org/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 134, no. 3 (2003): 385–95. https://doi.org/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 54, no. 1 (2003): 11–31. https://doi.org/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 360 (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 108, no. 3 (2003): 275–95. https://doi.org/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 96, no. 2 (2002): 293–318. https://doi.org/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 373, no. 3–4 (2019): 977–1016. https://doi.org/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 371, no. 8 (2019): 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 349 (2019): 920–40. https://doi.org/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?,” 97:89–102. American Mathematical Society, 2018. https://doi.org/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.
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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.
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, 2018, 1–31. https://doi.org/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 2017, no. 7 (2017): 2219–48. https://doi.org/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 114, no. 6 (2017): 1044–80. https://doi.org/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 285, no. 3–4 (2017): 1249–67. https://doi.org/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 2017, no. 731 (2017): 203–34. https://doi.org/doi.org/10.1515/crelle-2014-0122.
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[78]
2017 | Journal Article | IST-REx-ID: 169   OA
Browning, Timothy D, Vinay Kumaraswamy, and Rapael Steiner. “Twisted Linnik Implies Optimal Covering Exponent for S3.” International Mathematics Research Notices, 2017. 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 11, no. 7 (2017): 1657–75. https://doi.org/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 50, no. 6 (2017): 1383–1446. https://doi.org/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.
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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, 2017. 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 19, no. 2 (2017): 357–94. https://doi.org/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 63, no. 3 (2017): 818–39. https://doi.org/10.1112/S0025579317000195.
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[71]
2016 | Journal Article | IST-REx-ID: 263   OA
De La Bretèche, Régis, Timothy D Browning, and Per Salberger. “Counting Rational Points on the Cayley Ruled Cubic.” European Journal of Mathematics 2, no. 1 (2016): 55–72. https://doi.org/10.1007/s40879-015-0049-1.
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[70]
2016 | Journal Article | IST-REx-ID: 264   OA
Bright, Maritn, Timothy D Browning, and Daniel Loughran. “Failures of Weak Approximation in Families.” Compositio Mathematica 152, no. 7 (2016): 1435–75. https://doi.org/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 94, no. 1 (2016): 61–84. https://doi.org/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 8 (2016): 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 62, no. 2 (2016): 337–47. https://doi.org/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 2017, no. 731 (2015). https://doi.org/10.1515/crelle-2014-0122.
View | DOI | Download (ext.)
 
[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 27, no. 4 (2015): 2025–50. https://doi.org/10.1515/forum-2013-6024.
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[64]
2015 | Journal Article | IST-REx-ID: 260
Browning, Timothy D, Rainer Dietmann, and Roger Heath Brown. “Erratum Rational Points on Intersections of Cubic and Quadric Hypersurfaces.” Journal of the Institute of Mathematics of Jussieu 14, no. 4 (2015). https://doi.org/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.” In Arithmetic and Geometry, 89–113. Cambridge University Press, 2015. https://doi.org/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 25, no. 3 (2015): 671–732. https://doi.org/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 163, no. 10 (2014): 1825–83. https://doi.org/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 163, no. 3 (2014): 271–98. https://doi.org/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 26, no. 1 (2014): 25–44. https://doi.org/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 2015, no. 7 (2014): 1987–2019. https://doi.org/10.1093/imrn/rnt350.
View | DOI
 
[57]
2014 | Journal Article | IST-REx-ID: 248   OA
Browning, Timothy D, Lilian Matthiesen, and Alexei Skorobogatov. “Rational Points on Pencils of Conics and Quadrics with Many Degenerate Fibres.” Annals of Mathematics 180, no. 1 (2014): 381–402. 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, Rainer Dietmann, and Roger Heath Brown. “Rational Points on Intersections of Cubic and Quadric Hypersurfaces.” Journal of the Institute of Mathematics of Jussieu 14, no. 4 (2014): 703–49. https://doi.org/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 26, no. 1 (2013): 25–44. https://doi.org/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 (2013): 69–151. https://doi.org/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 149, no. 9 (2013): 1457–94. https://doi.org/10.1112/S0010437X13007185.
View | DOI
 
[52]
2013 | Journal Article | IST-REx-ID: 253
Browning, Timothy D. “Counting Rational Points on Cubic Hypersurfaces: Corrigendum.” Mathematika 60, no. 1 (2013): 101–7. https://doi.org/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 56, no. 3 (2013): 500–502. https://doi.org/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 108, no. 4 (2013): 1030–78. https://doi.org/10.1112/plms/pdt060.
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[49]
2012 | Journal Article | IST-REx-ID: 237
De La Bretèche, Régis, Timothy D Browning, and Emmanuel Peyre. “On Manin’s Conjecture for a Family of Châtelet Surfaces.” Annals of Mathematics 175, no. 1 (2012): 297–343. https://doi.org/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 9, no. 2 (2012): 481–86. https://doi.org/ 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 47, no. 2 (2012): 267–86. https://doi.org/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 21, no. 2 (2012): 204–11. https://doi.org/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 2013, no. 680 (2012): 1–65. 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 191, no. 2 (2012): 973–1012. https://doi.org/10.1007/s11856-012-0019-y.
View | DOI
 
[43]
2012 | Journal Article | IST-REx-ID: 242   OA
Baier, Stephan, Timothy D Browning, Gihan Marasingha, and Liangyi Zhao. “Averages of Shifted Convolutions of D3 (N).” Proceedings of the Edinburgh Mathematical Society 55, no. 3 (2012): 551–76. https://doi.org/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 22, no. 5 (2012): 1124–90. https://doi.org/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 96, no. 2 (2011): 139–50. https://doi.org/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 23, no. 3 (2011): 579–602. https://doi.org/10.5802/jtnb.778.
View | DOI
 
[39]
2011 | Journal Article | IST-REx-ID: 239
Browning, Timothy D, Rainer Dietmann, and Peter Elliott. “Least Zero of a Cubic Form.” Mathematische Annalen 352, no. 3 (2011): 745–78. https://doi.org/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 55, no. 2 (2011): 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 160, no. 1 (2011): 1–69. https://doi.org/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 2010, no. 646 (2010): 1–44. https://doi.org/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 146, no. 4 (2010): 853–85. https://doi.org/10.1112/S0010437X0900459X.
View | DOI
 
[34]
2009 | Book Chapter | IST-REx-ID: 168
Browning, Timothy D, and Rainer Dietmann. “Solubility of Fermat Equations.” In Quadratic Forms - Algebra, Arithmetic and Geometry, 493:99–106. American Mathematical Society, 2009. 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 59, no. 3 (2009): 1231–65. https://doi.org/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.” In Analytic Number Theory: Essays in Honour of Klaus Roth, 75–90. Cambridge University Press, 2009.
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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. https://doi.org/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, Shigeru Kanemitsu, and Jianya Liu, 6:1–18. World Scientific Publishing, 2009. 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 2009, no. 14 (2009): 2620–47. https://doi.org/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 (2009): 37–88. https://doi.org/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 346, no. 1 (2009): 41–50. https://doi.org/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 144, no. 6 (2008): 1375–1402. https://doi.org/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 96, no. 2 (2008): 389–416. https://doi.org/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.” In Diophantine Geometry, edited by Umberto Zannier, 4:93–100. Edizioni della Normale, 2007.
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[23]
2007 | Journal Article | IST-REx-ID: 220
Browning, Timothy D. “Counting Rational Points on Cubic Hypersurfaces.” Mathematika 54, no. 1–2 (2007): 93–112. https://doi.org/10.1112/S0025579300000243.
View | DOI
 
[22]
2007 | Journal Article | IST-REx-ID: 219
De La Bretèche, Régis, Timothy D Browning, and Ulrich Derenthal. “On Manin’s Conjecture for a Certain Singular Cubic Surface.” Annales Scientifiques de l’Ecole Normale Superieure 40, no. 1 (2007): 1–50. https://doi.org/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 55, no. 1 (2007): 51–80. https://doi.org/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.
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 143, no. 3 (2007): 579–605. https://doi.org/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 152, no. 1 (2007): 13–38. https://doi.org/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.” In Analytic Number Theory, Vol. 7. A Tribute to Gauss and Dirichlet, 2007.
View | Download (ext.) | arXiv
 
[16]
2006 | Journal Article | IST-REx-ID: 213
Browning, Timothy D, Roger Heath Brown, and Jason Starr. “The Density of Rational Points on Non-Singular Hypersurfaces, II.” Proceedings of the London Mathematical Society 93, no. 2 (2006): 273–303. https://doi.org/10.1112/S0024611506015784.
View | DOI
 
[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 125, no. 3 (2006): 291–304. https://doi.org/10.4064/aa125-3-6.
View | DOI
 
[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 38, no. 3 (2006): 401–10. https://doi.org/10.1112/S0024609305018412.
View | DOI
 
[13]
2006 | Journal Article | IST-REx-ID: 216
Browning, Timothy D, Roger Heath Brown, and Per Salberger. “Counting Rational Points on Algebraic Varieties.” Duke Mathematical Journal 132, no. 3 (2006): 545–78. https://doi.org/10.1215/S0012-7094-06-13236-2.
View | DOI
 
[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 251, no. 2 (2005): 233–47. https://doi.org/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. https://doi.org/10.1017/CBO9780511542893.
View | DOI
 
[10]
2005 | Journal Article | IST-REx-ID: 211
Browning, Timothy D. “Equal Sums of like Polynomials.” Bulletin of the London Mathematical Society 37, no. 6 (2005): 801–8. https://doi.org/10.1112/S0024609305004741.
View | DOI
 
[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 119, no. 2 (2005): 242–83. https://doi.org/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 (2005): 83–115. https://doi.org/10.1515/crll.2005.2005.584.83.
View | DOI | Download (ext.)
 
[7]
2004 | Journal Article | IST-REx-ID: 209
Browning, Timothy D, and Roger Heath Brown. “Equal Sums of Three Powers.” Inventiones Mathematicae 157, no. 3 (2004): 553–73. https://doi.org/10.1007/s00222-004-0360-9.
View | DOI
 
[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 54, no. 1 (2003): 33–39. https://doi.org/10.1093/qjmath/54.1.33.
View | DOI
 
[5]
2003 | Journal Article | IST-REx-ID: 207
Browning, Timothy D. “Sums of Four Biquadrates.” Mathematical Proceedings of the Cambridge Philosophical Society 134, no. 3 (2003): 385–95. https://doi.org/10.1017/S0305004102006382.
View | DOI
 
[4]
2003 | Journal Article | IST-REx-ID: 208
Browning, Timothy D. “Counting Rational Points on Diagonal Quadratic Surfaces.” Quarterly Journal of Mathematics 54, no. 1 (2003): 11–31. https://doi.org/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 360 (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 108, no. 3 (2003): 275–95. https://doi.org/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 96, no. 2 (2002): 293–318. https://doi.org/10.1006/jnth.2002.2800.
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