89 Publications

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[89]
2019 | Journal Article | IST-REx-ID: 170   OA
Browning, T. D., & Sofos, E. (2019). Counting rational points on quartic del Pezzo surfaces with a rational conic. Mathematische Annalen, 373(3–4), 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, T. D., & Loughran, D. (2019). Sieving rational points on varieties. Transactions of the American Mathematical Society, 371(8), 5757–5785.
View | Download (ext.) | arXiv
 
[87]
2019 | Journal Article | IST-REx-ID: 6310   OA
Browning, T. D., & Hu, L. Q. (2019). Counting rational points on biquadratic hypersurfaces. Advances in Mathematics, 349, 920–940. https://doi.org/10.1016/j.aim.2019.04.031
View | Files available | DOI | arXiv
 
[86]
2018 | Conference Paper | IST-REx-ID: 174
Browning, T. D. (2018). How often does the Hasse principle hold? (Vol. 97, pp. 89–102). Presented at the Algebraic Geometry, Salt Lake City, Utah, USA: American Mathematical Society. https://doi.org/10.1090/pspum/097.2/01700
View | DOI
 
[85]
2018 | Preprint | IST-REx-ID: 179   OA
Browning, T. D., & Heath Brown, R. (2018). Density of rational points on a quadric bundle in ℙ3×ℙ3. Unknown. Unknown.
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[84]
2018 | Preprint | IST-REx-ID: 176   OA
Browning, T. D., & Sofos, E. (2018). Averages of arithmetic functions over principal ideals. International Journal of Nuber Theory. World Scientific Publishing.
View | Download (ext.) | arXiv
 
[83]
2018 | Journal Article | IST-REx-ID: 178   OA
Browning, T. D., & Heath-Brown, R. (2018). Counting rational points on quadric surfaces. Discrete Analysis, 1–31. https://doi.org/10.19086/da.4375
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[82]
2017 | Journal Article | IST-REx-ID: 268   OA
Browning, T. D., & Prendiville, S. (2017). A transference approach to a Roth-type theorem in the squares. International Mathematics Research Notices, 2017(7), 2219–2248. https://doi.org/10.1093/imrn/rnw096
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[81]
2017 | Journal Article | IST-REx-ID: 270   OA
Browning, T. D., & Gorodnik, A. (2017). Power-free values of polynomials on symmetric varieties. Proceedings of the London Mathematical Society, 114(6), 1044–1080. https://doi.org/10.1112/plms.12030
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[80]
2017 | Journal Article | IST-REx-ID: 271   OA
Browning, T. D., & Prendiville, S. (2017). Improvements in Birch’s theorem on forms in many variables. Journal Fur Die Reine Und Angewandte Mathematik, 2017(731), 203–234. https://doi.org/doi.org/10.1515/crelle-2014-0122
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[79]
2017 | Journal Article | IST-REx-ID: 269   OA
Browning, T. D., & Loughran, D. (2017). Varieties with too many rational points. Mathematische Zeitschrift, 285(3–4), 1249–1267. https://doi.org/10.1007/s00209-016-1746-2
View | DOI | Download (ext.) | arXiv
 
[78]
2017 | Journal Article | IST-REx-ID: 265
Browning, T. D., & Vishe, P. (2017). Rational curves on smooth hypersurfaces of low degree. Geometric Methods in Algebra and Number Theory, 11(7), 1657–1675. https://doi.org/10.2140/ant.2017.11.1657
View | DOI
 
[77]
2017 | Journal Article | IST-REx-ID: 272   OA
Browning, T. D., & Matthiesen, L. (2017). Norm forms for arbitrary number fields as products of linear polynomials. Annales Scientifiques de l’Ecole Normale Superieure, 50(6), 1383–1446. https://doi.org/10.24033/asens.2348
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[76]
2017 | Journal Article | IST-REx-ID: 169   OA
Browning, T. D., Kumaraswamy, V., & Steiner, R. (2017). Twisted Linnik implies optimal covering exponent for S3. International Mathematics Research Notices. https://doi.org/10.1093/imrn/rnx116
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[75]
2017 | Preprint | IST-REx-ID: 177   OA
Browning, T. D., & Sawin, W. (2017). A geometric version of the circle method. Unknown. Unknown.
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[74]
2017 | Journal Article | IST-REx-ID: 266   OA
Browning, T. D., & Heath Brown, R. (2017). Forms in many variables and differing degrees. Journal of the European Mathematical Society, 19(2), 357–394. https://doi.org/10.4171/JEMS/668
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[73]
2017 | Journal Article | IST-REx-ID: 172   OA
Browning, T. D., & Schindler, D. (2017). Strong approximation and a conjecture of Harpaz and Wittenberg. International Mathematics Research Notices. https://doi.org/10.1093/imrn/rnx252
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[72]
2017 | Journal Article | IST-REx-ID: 267
Browning, T. D. (2017). Many cubic surfaces contain rational points. Mathematika, 63(3), 818–839. https://doi.org/10.1112/S0025579317000195
View | DOI
 
[71]
2016 | Journal Article | IST-REx-ID: 263   OA
De La Bretèche, R., Browning, T. D., & Salberger, P. (2016). Counting rational points on the Cayley ruled cubic. European Journal of Mathematics, 2(1), 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, M., Browning, T. D., & Loughran, D. (2016). Failures of weak approximation in families. Compositio Mathematica, 152(7), 1435–1475. https://doi.org/10.1112/S0010437X16007405
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[69]
2016 | Journal Article | IST-REx-ID: 261
Browning, T. D., & Vinogradov, I. (2016). Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1. Journal of the London Mathematical Society, 94(1), 61–84. https://doi.org/10.1112/jlms/jdw025
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[68]
2016 | Journal Article | IST-REx-ID: 173   OA
Browning, T. D., & Booker, A. (2016). Square-free values of reducible polynomials. Discrete Analysis, 8, 1–18.
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[67]
2016 | Journal Article | IST-REx-ID: 262   OA
Browning, T. D., & Newton, R. (2016). The proportion of failures of the Hasse norm principle. Mathematika, 62(2), 337–347. https://doi.org/10.1112/S0025579315000261
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[66]
2015 | Journal Article | IST-REx-ID: 256   OA
Browning, T. D., & Prendiville, S. (2015). Improvements in Birch’s theorem on forms in many variables. Journal Fur Die Reine Und Angewandte Mathematik, 2017(731). https://doi.org/10.1515/crelle-2014-0122
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[65]
2015 | Journal Article | IST-REx-ID: 257   OA
Browning, T. D., & Munshi, R. (2015). Pairs of diagonal quadratic forms and linear correlations among sums of two squares. Forum Mathematicum, 27(4), 2025–2050. https://doi.org/10.1515/forum-2013-6024
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[64]
2015 | Journal Article | IST-REx-ID: 260
Browning, T. D., Dietmann, R., & Heath Brown, R. (2015). Erratum Rational points on intersections of cubic and quadric hypersurfaces. Journal of the Institute of Mathematics of Jussieu, 14(4). https://doi.org/10.1017/S1474748014000279
View | DOI
 
[63]
2015 | Book Chapter | IST-REx-ID: 258
Browning, T. D. (2015). A survey of applications of the circle method to rational points. In Arithmetic and Geometry (pp. 89–113). Cambridge University Press. https://doi.org/10.1017/CBO9781316106877.009
View | DOI
 
[62]
2015 | Journal Article | IST-REx-ID: 259
Browning, T. D., & Vishe, P. (2015). Rational points on cubic hypersurfaces over F_q(t) . Geometric and Functional Analysis, 25(3), 671–732. https://doi.org/10.1007/s00039-015-0328-5
View | DOI
 
[61]
2014 | Journal Article | IST-REx-ID: 249
Browning, T. D., & Vishe, P. (2014). Cubic hypersurfaces and a version of the circle method for number fields. Duke Mathematical Journal, 163(10), 1825–1883. https://doi.org/10.1215/00127094-2738530
View | DOI
 
[60]
2014 | Journal Article | IST-REx-ID: 252
Browning, T. D., & Jones, M. (2014). Counting rational points on del Pezzo surfaces with a conic bundle structure. Acta Arithmetica, 163(3), 271–298. https://doi.org/10.4064/aa163-3-6
View | DOI
 
[59]
2014 | Journal Article | IST-REx-ID: 6319   OA
Bretèche, R. de la, & Browning, T. D. (2014). Contre-exemples au principe de Hasse pour certains tores coflasques. Journal de Théorie Des Nombres de Bordeaux, 26(1), 25–44. https://doi.org/10.5802/jtnb.857
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[58]
2014 | Journal Article | IST-REx-ID: 254
Browning, T. D. (2014). The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices, 2015(7), 1987–2019. https://doi.org/10.1093/imrn/rnt350
View | DOI
 
[57]
2014 | Journal Article | IST-REx-ID: 248   OA
Browning, T. D., Matthiesen, L., & Skorobogatov, A. (2014). Rational points on pencils of conics and quadrics with many degenerate fibres. Annals of Mathematics, 180(1), 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, T. D., Dietmann, R., & Heath Brown, R. (2014). Rational points on intersections of cubic and quadric hypersurfaces. Journal of the Institute of Mathematics of Jussieu, 14(4), 703–749. https://doi.org/10.1017/S1474748014000127
View | DOI
 
[55]
2013 | Journal Article | IST-REx-ID: 251
De La Bretèche, R., & Browning, T. D. (2013). Counter examples to the Hasse principle among certain coflasque tori. Journal de Theorie Des Nombres de Bordeaux, 26(1), 25–44. https://doi.org/10.5802/jtnb.857
View | DOI
 
[54]
2013 | Journal Article | IST-REx-ID: 245   OA
Baier, S., & Browning, T. D. (2013). Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal Fur Die Reine Und Angewandte Mathematik, (680), 69–151. https://doi.org/10.1515/crelle.2012.039
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[53]
2013 | Journal Article | IST-REx-ID: 246
Browning, T. D., & Munshi, R. (2013). Rational points on singular intersections of quadrics. Compositio Mathematica, 149(9), 1457–1494. https://doi.org/10.1112/S0010437X13007185
View | DOI
 
[52]
2013 | Journal Article | IST-REx-ID: 253
Browning, T. D. (2013). Counting rational points on cubic hypersurfaces: Corrigendum. Mathematika, 60(1), 101–107. https://doi.org/10.1112/S0025579313000132
View | DOI
 
[51]
2013 | Journal Article | IST-REx-ID: 247
Browning, T. D. (2013). The Lang-Weil estimate for cubic hypersurfaces. Canadian Mathematical Bulletin, 56(3), 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, R., & Browning, T. D. (2013). Density of Châtelet surfaces failing the Hasse principle. Proceedings of the London Mathematical Society, 108(4), 1030–1078. https://doi.org/10.1112/plms/pdt060
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[49]
2012 | Journal Article | IST-REx-ID: 237
De La Bretèche, R., Browning, T. D., & Peyre, E. (2012). On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics, 175(1), 297–343. https://doi.org/10.4007/annals.2012.175.1.8
View | DOI
 
[48]
2012 | Journal Article | IST-REx-ID: 244   OA
Browning, T. D., & Haynes, A. (2012). Incomplete kloosterman sums and multiplicative inverses in short intervals. International Journal of Number Theory, 9(2), 481–486. https://doi.org/ https://doi.org/10.1142/S1793042112501448
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[47]
2012 | Journal Article | IST-REx-ID: 238
Baier, S., & Browning, T. D. (2012). Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici, 47(2), 267–286. https://doi.org/10.7169/facm/2012.47.2.9
View | DOI
 
[46]
2012 | Journal Article | IST-REx-ID: 240
Browning, T. D., & Valckenborgh, K. V. (2012). Sums of three squareful numbers. Experimental Mathematics, 21(2), 204–211. https://doi.org/10.1080/10586458.2011.605733
View | DOI
 
[45]
2012 | Journal Article | IST-REx-ID: 171   OA
Browning, T. D., & Baier, S. (2012). Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal Fur Die Reine Und Angewandte Mathematik, 2013(680), 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, R., & Browning, T. D. (2012). Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics, 191(2), 973–1012. https://doi.org/10.1007/s11856-012-0019-y
View | DOI
 
[43]
2012 | Journal Article | IST-REx-ID: 242   OA
Baier, S., Browning, T. D., Marasingha, G., & Zhao, L. (2012). Averages of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical Society, 55(3), 551–576. https://doi.org/10.1017/S001309151100037X
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[42]
2012 | Journal Article | IST-REx-ID: 243
Browning, T. D., & Heath Brown, R. (2012). Quadratic polynomials represented by norm forms. Geometric and Functional Analysis, 22(5), 1124–1190. https://doi.org/10.1007/s00039-012-0168-5
View | DOI
 
[41]
2011 | Journal Article | IST-REx-ID: 233
Browning, T. D. (2011). Power-free values of polynomials. Archiv Der Mathematik, 96(2), 139–150. https://doi.org/10.1007/s00013-011-0224-7
View | DOI
 
[40]
2011 | Journal Article | IST-REx-ID: 234
Browning, T. D. (2011). The divisor problem for binary cubic forms. Journal de Theorie Des Nombres de Bordeaux, 23(3), 579–602. https://doi.org/10.5802/jtnb.778
View | DOI
 
[39]
2011 | Journal Article | IST-REx-ID: 239
Browning, T. D., Dietmann, R., & Elliott, P. (2011). Least zero of a cubic form. Mathematische Annalen, 352(3), 745–778. https://doi.org/10.1007/s00208-011-0651-6
View | DOI
 
[38]
2011 | Journal Article | IST-REx-ID: 235
Browning, T. D., & Elsholtz, C. (2011). The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics, 55(2), 685–696.
View
 
[37]
2011 | Journal Article | IST-REx-ID: 236
De La Bretèche, R., & Browning, T. D. (2011). Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal, 160(1), 1–69. https://doi.org/10.1215/00127094-1443466
View | DOI
 
[36]
2010 | Journal Article | IST-REx-ID: 6320   OA
Bretèche, R. de la, & Browning, T. D. (2010). Le problème des diviseurs pour des formes binaires de degré 4. Crelles Journal, 2010(646), 1–44. https://doi.org/10.1515/crelle.2010.064
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[35]
2010 | Journal Article | IST-REx-ID: 231
Browning, T. D., & Colliot Thélène, J. (2010). Rational points on cubic hypersurfaces that split off a form. With an appendix by J-L Colliot-Thélène. Compositio Mathematica, 146(4), 853–885. https://doi.org/10.1112/S0010437X0900459X
View | DOI
 
[34]
2009 | Book Chapter | IST-REx-ID: 168
Browning, T. D., & Dietmann, R. (2009). Solubility of Fermat equations. In Quadratic Forms - algebra, arithmetic and geometry (Vol. 493, pp. 99–106). American Mathematical Society. http://dx.doi.org/10.1090/conm/493
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[33]
2009 | Journal Article | IST-REx-ID: 226
Browning, T. D., & Derenthal, U. (2009). Manin’s conjecture for a quartic del Pezzo surface with A4 singularity. Annales de l’Institut Fourier, 59(3), 1231–1265. https://doi.org/10.5802/aif.2462
View | DOI
 
[32]
2009 | Book Chapter | IST-REx-ID: 164   OA
Browning, T. D., & Heath Brown, R. (2009). Integral points on cubic hypersurfaces. In Analytic Number Theory: Essays in honour of Klaus Roth (pp. 75–90). Cambridge University Press.
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[31]
2009 | Book | IST-REx-ID: 227
Browning, T. D. (2009). Quantitative arithmetic of projective varieties. Unknown (978-3-0346-0129-0) (Vol. 277, pp. 1–160). Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0129-0
View | DOI
 
[30]
2009 | Conference Paper | IST-REx-ID: 165
Browning, T. D. (2009). Resent progress on the quantitative arithmetic of del Pezzo surfaces. In T. Aoki, S. Kanemitsu, & J. Liu (Eds.) (Vol. 6, pp. 1–18). Presented at the Number Theory: Dreaming in dreams, World Scientific Publishing. https://doi.org/10.1142/9789814289924_0001
View | DOI
 
[29]
2009 | Journal Article | IST-REx-ID: 230
Browning, T. D., & Derenthal, U. (2009). Manin’s conjecture for a cubic surface with  D 5 singularity. International Mathematics Research Notices, 2009(14), 2620–2647. https://doi.org/10.1093/imrn/rnp029
View | DOI
 
[28]
2009 | Journal Article | IST-REx-ID: 228   OA
Browning, T. D., & Heath Brown, R. (2009). Rational points on quartic hypersurfaces. Journal Fur Die Reine Und Angewandte Mathematik, (629), 37–88. https://doi.org/10.1515/CRELLE.2009.026
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[27]
2009 | Journal Article | IST-REx-ID: 229   OA
Browning, T. D. (2009). Linear growth for Châtelet surfaces. Mathematische Annalen, 346(1), 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, R., & Browning, T. D. (2008). Binary linear forms as sums of two squares. Compositio Mathematica, 144(6), 1375–1402. https://doi.org/10.1112/S0010437X08003692
View | DOI
 
[25]
2008 | Journal Article | IST-REx-ID: 224
Browning, T. D., & Dietmann, R. (2008). On the representation of integers by quadratic forms. Proceedings of the London Mathematical Society, 96(2), 389–416. https://doi.org/10.1112/plms/pdm032
View | DOI
 
[24]
2007 | Book Chapter | IST-REx-ID: 167   OA
Browning, T. D., & Heath Brown, R. (2007). Simultaneous equal sums of three powers. In U. Zannier (Ed.), Diophantine Geometry (Vol. 4, pp. 93–100). Edizioni della Normale.
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[23]
2007 | Journal Article | IST-REx-ID: 220
Browning, T. D. (2007). Counting rational points on cubic hypersurfaces. Mathematika, 54(1–2), 93–112. https://doi.org/10.1112/S0025579300000243
View | DOI
 
[22]
2007 | Journal Article | IST-REx-ID: 219
De La Bretèche, R., Browning, T. D., & Derenthal, U. (2007). On Manin’s conjecture for a certain singular cubic surface. Annales Scientifiques de l’Ecole Normale Superieure, 40(1), 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, R., & Browning, T. D. (2007). On Manin’s conjecture for singular del Pezzo surfaces of degree four, I. Michigan Mathematical Journal, 55(1), 51–80. https://doi.org/10.1307/mmj/1177681985
View | Files available | DOI | arXiv
 
[20]
2007 | Preprint | IST-REx-ID: 6321   OA
Browning, T. D. (2007). The Manin conjecture in dimension 2. Arxiv. Arxiv.
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[19]
2007 | Journal Article | IST-REx-ID: 222   OA
De La Bretèche, R., & Browning, T. D. (2007). On Manin’s conjecture for singular del Pezzo surfaces of degree four, II. Mathematical Proceedings of the Cambridge Philosophical Society, 143(3), 579–605. https://doi.org/10.1017/S0305004107000205
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[18]
2007 | Journal Article | IST-REx-ID: 223   OA
Browning, T. D. (2007). Density of integer solutions to diagonal quadratic forms. Monatshefte Fur Mathematik, 152(1), 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, T. D. (2007). An overview of Manin’s conjecture for del Pezzo surfaces. In A Tribute to Gauss and Dirichlet (Vol. 7, pp. 39–56). American Mathematical Society.
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[16]
2006 | Journal Article | IST-REx-ID: 213
Browning, T. D., Heath Brown, R., & Starr, J. (2006). The density of rational points on non-singular hypersurfaces, II. Proceedings of the London Mathematical Society, 93(2), 273–303. https://doi.org/10.1112/S0024611506015784
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[15]
2006 | Journal Article | IST-REx-ID: 218
De La Bretèche, R., & Browning, T. D. (2006). Sums of arithmetic functions over values of binary forms. Acta Arithmetica, 125(3), 291–304. https://doi.org/10.4064/aa125-3-6
View | DOI
 
[14]
2006 | Journal Article | IST-REx-ID: 215
Browning, T. D., & Heath Brown, R. (2006). The density of rational points on non-singular hypersurfaces, I. Bulletin of the London Mathematical Society, 38(3), 401–410. https://doi.org/10.1112/S0024609305018412
View | DOI
 
[13]
2006 | Journal Article | IST-REx-ID: 216
Browning, T. D., Heath Brown, R., & Salberger, P. (2006). Counting rational points on algebraic varieties. Duke Mathematical Journal, 132(3), 545–578. https://doi.org/10.1215/S0012-7094-06-13236-2
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[12]
2005 | Journal Article | IST-REx-ID: 214   OA
Browning, T. D., & Heath Brown, R. (2005). Plane curves in boxes and equal sums of two powers. Mathematische Zeitschrift, 251(2), 233–247. https://doi.org/10.1007/s00209-004-0719-z
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[11]
2005 | Book | IST-REx-ID: 210
Davenport, H., & Browning, T. D. (2005). Analytic methods for diophantine equations and diophantine inequalities. Analytic methods for diophantine equations and diophantine inequalities (pp. 1–140). Cambridge University Press. https://doi.org/10.1017/CBO9780511542893
View | DOI
 
[10]
2005 | Journal Article | IST-REx-ID: 211
Browning, T. D. (2005). Equal sums of like polynomials. Bulletin of the London Mathematical Society, 37(6), 801–808. https://doi.org/10.1112/S0024609305004741
View | DOI
 
[9]
2005 | Journal Article | IST-REx-ID: 217
Browning, T. D. (2005). The density of rational points on a certain singular cubic surface. Journal of Number Theory, 119(2), 242–283. https://doi.org/10.1016/j.jnt.2005.11.007
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[8]
2005 | Journal Article | IST-REx-ID: 212   OA
Browning, T. D., & Heath Brown, R. (2005). Counting rational points on hypersurfaces. Journal Fur Die Reine Und Angewandte Mathematik, (584), 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, T. D., & Heath Brown, R. (2004). Equal sums of three powers. Inventiones Mathematicae, 157(3), 553–573. https://doi.org/10.1007/s00222-004-0360-9
View | DOI
 
[6]
2003 | Journal Article | IST-REx-ID: 206
Browning, T. D. (2003). A note on the distribution of rational points on threefolds. Quarterly Journal of Mathematics, 54(1), 33–39. https://doi.org/10.1093/qjmath/54.1.33
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[5]
2003 | Journal Article | IST-REx-ID: 207
Browning, T. D. (2003). Sums of four biquadrates. Mathematical Proceedings of the Cambridge Philosophical Society, 134(3), 385–395. https://doi.org/10.1017/S0305004102006382
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[4]
2003 | Journal Article | IST-REx-ID: 208
Browning, T. D. (2003). Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics, 54(1), 11–31. https://doi.org/10.1093/qjmath/54.1.11
View | DOI
 
[3]
2003 | Journal Article | IST-REx-ID: 205
Browning, T. D. (2003). Counting rational points on cubic and quartic surfaces. Acta Arithmetica, 108(3), 275–295. https://doi.org/10.4064/aa108-3-7
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[2]
2003 | Journal Article | IST-REx-ID: 166   OA
Browning, T. D., & Swarbick Jones, M. (2003). Counting rational points on del Pezzo surfaces of degree 5. Proceedings of the Bonn Session in Analytic Number Theory and Diophantine Equations, 360.
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[1]
2002 | Journal Article | IST-REx-ID: 204
Browning, T. D. (2002). Equal Sums of Two kth Powers. Journal of Number Theory, 96(2), 293–318. https://doi.org/10.1006/jnth.2002.2800
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[89]
2019 | Journal Article | IST-REx-ID: 170   OA
Browning, T. D., & Sofos, E. (2019). Counting rational points on quartic del Pezzo surfaces with a rational conic. Mathematische Annalen, 373(3–4), 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, T. D., & Loughran, D. (2019). Sieving rational points on varieties. Transactions of the American Mathematical Society, 371(8), 5757–5785.
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[87]
2019 | Journal Article | IST-REx-ID: 6310   OA
Browning, T. D., & Hu, L. Q. (2019). Counting rational points on biquadratic hypersurfaces. Advances in Mathematics, 349, 920–940. https://doi.org/10.1016/j.aim.2019.04.031
View | Files available | DOI | arXiv
 
[86]
2018 | Conference Paper | IST-REx-ID: 174
Browning, T. D. (2018). How often does the Hasse principle hold? (Vol. 97, pp. 89–102). Presented at the Algebraic Geometry, Salt Lake City, Utah, USA: American Mathematical Society. https://doi.org/10.1090/pspum/097.2/01700
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[85]
2018 | Preprint | IST-REx-ID: 179   OA
Browning, T. D., & Heath Brown, R. (2018). Density of rational points on a quadric bundle in ℙ3×ℙ3. Unknown. Unknown.
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[84]
2018 | Preprint | IST-REx-ID: 176   OA
Browning, T. D., & Sofos, E. (2018). Averages of arithmetic functions over principal ideals. International Journal of Nuber Theory. World Scientific Publishing.
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[83]
2018 | Journal Article | IST-REx-ID: 178   OA
Browning, T. D., & Heath-Brown, R. (2018). Counting rational points on quadric surfaces. Discrete Analysis, 1–31. https://doi.org/10.19086/da.4375
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[82]
2017 | Journal Article | IST-REx-ID: 268   OA
Browning, T. D., & Prendiville, S. (2017). A transference approach to a Roth-type theorem in the squares. International Mathematics Research Notices, 2017(7), 2219–2248. https://doi.org/10.1093/imrn/rnw096
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[81]
2017 | Journal Article | IST-REx-ID: 270   OA
Browning, T. D., & Gorodnik, A. (2017). Power-free values of polynomials on symmetric varieties. Proceedings of the London Mathematical Society, 114(6), 1044–1080. https://doi.org/10.1112/plms.12030
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[80]
2017 | Journal Article | IST-REx-ID: 271   OA
Browning, T. D., & Prendiville, S. (2017). Improvements in Birch’s theorem on forms in many variables. Journal Fur Die Reine Und Angewandte Mathematik, 2017(731), 203–234. https://doi.org/doi.org/10.1515/crelle-2014-0122
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[79]
2017 | Journal Article | IST-REx-ID: 269   OA
Browning, T. D., & Loughran, D. (2017). Varieties with too many rational points. Mathematische Zeitschrift, 285(3–4), 1249–1267. https://doi.org/10.1007/s00209-016-1746-2
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[78]
2017 | Journal Article | IST-REx-ID: 265
Browning, T. D., & Vishe, P. (2017). Rational curves on smooth hypersurfaces of low degree. Geometric Methods in Algebra and Number Theory, 11(7), 1657–1675. https://doi.org/10.2140/ant.2017.11.1657
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[77]
2017 | Journal Article | IST-REx-ID: 272   OA
Browning, T. D., & Matthiesen, L. (2017). Norm forms for arbitrary number fields as products of linear polynomials. Annales Scientifiques de l’Ecole Normale Superieure, 50(6), 1383–1446. https://doi.org/10.24033/asens.2348
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[76]
2017 | Journal Article | IST-REx-ID: 169   OA
Browning, T. D., Kumaraswamy, V., & Steiner, R. (2017). Twisted Linnik implies optimal covering exponent for S3. International Mathematics Research Notices. https://doi.org/10.1093/imrn/rnx116
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[75]
2017 | Preprint | IST-REx-ID: 177   OA
Browning, T. D., & Sawin, W. (2017). A geometric version of the circle method. Unknown. Unknown.
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[74]
2017 | Journal Article | IST-REx-ID: 266   OA
Browning, T. D., & Heath Brown, R. (2017). Forms in many variables and differing degrees. Journal of the European Mathematical Society, 19(2), 357–394. https://doi.org/10.4171/JEMS/668
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[73]
2017 | Journal Article | IST-REx-ID: 172   OA
Browning, T. D., & Schindler, D. (2017). Strong approximation and a conjecture of Harpaz and Wittenberg. International Mathematics Research Notices. https://doi.org/10.1093/imrn/rnx252
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[72]
2017 | Journal Article | IST-REx-ID: 267
Browning, T. D. (2017). Many cubic surfaces contain rational points. Mathematika, 63(3), 818–839. https://doi.org/10.1112/S0025579317000195
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[71]
2016 | Journal Article | IST-REx-ID: 263   OA
De La Bretèche, R., Browning, T. D., & Salberger, P. (2016). Counting rational points on the Cayley ruled cubic. European Journal of Mathematics, 2(1), 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, M., Browning, T. D., & Loughran, D. (2016). Failures of weak approximation in families. Compositio Mathematica, 152(7), 1435–1475. https://doi.org/10.1112/S0010437X16007405
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[69]
2016 | Journal Article | IST-REx-ID: 261
Browning, T. D., & Vinogradov, I. (2016). Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1. Journal of the London Mathematical Society, 94(1), 61–84. https://doi.org/10.1112/jlms/jdw025
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[68]
2016 | Journal Article | IST-REx-ID: 173   OA
Browning, T. D., & Booker, A. (2016). Square-free values of reducible polynomials. Discrete Analysis, 8, 1–18.
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[67]
2016 | Journal Article | IST-REx-ID: 262   OA
Browning, T. D., & Newton, R. (2016). The proportion of failures of the Hasse norm principle. Mathematika, 62(2), 337–347. https://doi.org/10.1112/S0025579315000261
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[66]
2015 | Journal Article | IST-REx-ID: 256   OA
Browning, T. D., & Prendiville, S. (2015). Improvements in Birch’s theorem on forms in many variables. Journal Fur Die Reine Und Angewandte Mathematik, 2017(731). https://doi.org/10.1515/crelle-2014-0122
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[65]
2015 | Journal Article | IST-REx-ID: 257   OA
Browning, T. D., & Munshi, R. (2015). Pairs of diagonal quadratic forms and linear correlations among sums of two squares. Forum Mathematicum, 27(4), 2025–2050. https://doi.org/10.1515/forum-2013-6024
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[64]
2015 | Journal Article | IST-REx-ID: 260
Browning, T. D., Dietmann, R., & Heath Brown, R. (2015). Erratum Rational points on intersections of cubic and quadric hypersurfaces. Journal of the Institute of Mathematics of Jussieu, 14(4). https://doi.org/10.1017/S1474748014000279
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[63]
2015 | Book Chapter | IST-REx-ID: 258
Browning, T. D. (2015). A survey of applications of the circle method to rational points. In Arithmetic and Geometry (pp. 89–113). Cambridge University Press. https://doi.org/10.1017/CBO9781316106877.009
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[62]
2015 | Journal Article | IST-REx-ID: 259
Browning, T. D., & Vishe, P. (2015). Rational points on cubic hypersurfaces over F_q(t) . Geometric and Functional Analysis, 25(3), 671–732. https://doi.org/10.1007/s00039-015-0328-5
View | DOI
 
[61]
2014 | Journal Article | IST-REx-ID: 249
Browning, T. D., & Vishe, P. (2014). Cubic hypersurfaces and a version of the circle method for number fields. Duke Mathematical Journal, 163(10), 1825–1883. https://doi.org/10.1215/00127094-2738530
View | DOI
 
[60]
2014 | Journal Article | IST-REx-ID: 252
Browning, T. D., & Jones, M. (2014). Counting rational points on del Pezzo surfaces with a conic bundle structure. Acta Arithmetica, 163(3), 271–298. https://doi.org/10.4064/aa163-3-6
View | DOI
 
[59]
2014 | Journal Article | IST-REx-ID: 6319   OA
Bretèche, R. de la, & Browning, T. D. (2014). Contre-exemples au principe de Hasse pour certains tores coflasques. Journal de Théorie Des Nombres de Bordeaux, 26(1), 25–44. https://doi.org/10.5802/jtnb.857
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[58]
2014 | Journal Article | IST-REx-ID: 254
Browning, T. D. (2014). The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices, 2015(7), 1987–2019. https://doi.org/10.1093/imrn/rnt350
View | DOI
 
[57]
2014 | Journal Article | IST-REx-ID: 248   OA
Browning, T. D., Matthiesen, L., & Skorobogatov, A. (2014). Rational points on pencils of conics and quadrics with many degenerate fibres. Annals of Mathematics, 180(1), 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, T. D., Dietmann, R., & Heath Brown, R. (2014). Rational points on intersections of cubic and quadric hypersurfaces. Journal of the Institute of Mathematics of Jussieu, 14(4), 703–749. https://doi.org/10.1017/S1474748014000127
View | DOI
 
[55]
2013 | Journal Article | IST-REx-ID: 251
De La Bretèche, R., & Browning, T. D. (2013). Counter examples to the Hasse principle among certain coflasque tori. Journal de Theorie Des Nombres de Bordeaux, 26(1), 25–44. https://doi.org/10.5802/jtnb.857
View | DOI
 
[54]
2013 | Journal Article | IST-REx-ID: 245   OA
Baier, S., & Browning, T. D. (2013). Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal Fur Die Reine Und Angewandte Mathematik, (680), 69–151. https://doi.org/10.1515/crelle.2012.039
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[53]
2013 | Journal Article | IST-REx-ID: 246
Browning, T. D., & Munshi, R. (2013). Rational points on singular intersections of quadrics. Compositio Mathematica, 149(9), 1457–1494. https://doi.org/10.1112/S0010437X13007185
View | DOI
 
[52]
2013 | Journal Article | IST-REx-ID: 253
Browning, T. D. (2013). Counting rational points on cubic hypersurfaces: Corrigendum. Mathematika, 60(1), 101–107. https://doi.org/10.1112/S0025579313000132
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[51]
2013 | Journal Article | IST-REx-ID: 247
Browning, T. D. (2013). The Lang-Weil estimate for cubic hypersurfaces. Canadian Mathematical Bulletin, 56(3), 500–502. https://doi.org/10.4153/CMB-2011-177-4
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[50]
2013 | Journal Article | IST-REx-ID: 250   OA
De La Bretèche, R., & Browning, T. D. (2013). Density of Châtelet surfaces failing the Hasse principle. Proceedings of the London Mathematical Society, 108(4), 1030–1078. https://doi.org/10.1112/plms/pdt060
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[49]
2012 | Journal Article | IST-REx-ID: 237
De La Bretèche, R., Browning, T. D., & Peyre, E. (2012). On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics, 175(1), 297–343. https://doi.org/10.4007/annals.2012.175.1.8
View | DOI
 
[48]
2012 | Journal Article | IST-REx-ID: 244   OA
Browning, T. D., & Haynes, A. (2012). Incomplete kloosterman sums and multiplicative inverses in short intervals. International Journal of Number Theory, 9(2), 481–486. https://doi.org/ https://doi.org/10.1142/S1793042112501448
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[47]
2012 | Journal Article | IST-REx-ID: 238
Baier, S., & Browning, T. D. (2012). Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici, 47(2), 267–286. https://doi.org/10.7169/facm/2012.47.2.9
View | DOI
 
[46]
2012 | Journal Article | IST-REx-ID: 240
Browning, T. D., & Valckenborgh, K. V. (2012). Sums of three squareful numbers. Experimental Mathematics, 21(2), 204–211. https://doi.org/10.1080/10586458.2011.605733
View | DOI
 
[45]
2012 | Journal Article | IST-REx-ID: 171   OA
Browning, T. D., & Baier, S. (2012). Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal Fur Die Reine Und Angewandte Mathematik, 2013(680), 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, R., & Browning, T. D. (2012). Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics, 191(2), 973–1012. https://doi.org/10.1007/s11856-012-0019-y
View | DOI
 
[43]
2012 | Journal Article | IST-REx-ID: 242   OA
Baier, S., Browning, T. D., Marasingha, G., & Zhao, L. (2012). Averages of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical Society, 55(3), 551–576. https://doi.org/10.1017/S001309151100037X
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[42]
2012 | Journal Article | IST-REx-ID: 243
Browning, T. D., & Heath Brown, R. (2012). Quadratic polynomials represented by norm forms. Geometric and Functional Analysis, 22(5), 1124–1190. https://doi.org/10.1007/s00039-012-0168-5
View | DOI
 
[41]
2011 | Journal Article | IST-REx-ID: 233
Browning, T. D. (2011). Power-free values of polynomials. Archiv Der Mathematik, 96(2), 139–150. https://doi.org/10.1007/s00013-011-0224-7
View | DOI
 
[40]
2011 | Journal Article | IST-REx-ID: 234
Browning, T. D. (2011). The divisor problem for binary cubic forms. Journal de Theorie Des Nombres de Bordeaux, 23(3), 579–602. https://doi.org/10.5802/jtnb.778
View | DOI
 
[39]
2011 | Journal Article | IST-REx-ID: 239
Browning, T. D., Dietmann, R., & Elliott, P. (2011). Least zero of a cubic form. Mathematische Annalen, 352(3), 745–778. https://doi.org/10.1007/s00208-011-0651-6
View | DOI
 
[38]
2011 | Journal Article | IST-REx-ID: 235
Browning, T. D., & Elsholtz, C. (2011). The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics, 55(2), 685–696.
View
 
[37]
2011 | Journal Article | IST-REx-ID: 236
De La Bretèche, R., & Browning, T. D. (2011). Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal, 160(1), 1–69. https://doi.org/10.1215/00127094-1443466
View | DOI
 
[36]
2010 | Journal Article | IST-REx-ID: 6320   OA
Bretèche, R. de la, & Browning, T. D. (2010). Le problème des diviseurs pour des formes binaires de degré 4. Crelles Journal, 2010(646), 1–44. https://doi.org/10.1515/crelle.2010.064
View | DOI | Download (ext.) | arXiv
 
[35]
2010 | Journal Article | IST-REx-ID: 231
Browning, T. D., & Colliot Thélène, J. (2010). Rational points on cubic hypersurfaces that split off a form. With an appendix by J-L Colliot-Thélène. Compositio Mathematica, 146(4), 853–885. https://doi.org/10.1112/S0010437X0900459X
View | DOI
 
[34]
2009 | Book Chapter | IST-REx-ID: 168
Browning, T. D., & Dietmann, R. (2009). Solubility of Fermat equations. In Quadratic Forms - algebra, arithmetic and geometry (Vol. 493, pp. 99–106). American Mathematical Society. http://dx.doi.org/10.1090/conm/493
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[33]
2009 | Journal Article | IST-REx-ID: 226
Browning, T. D., & Derenthal, U. (2009). Manin’s conjecture for a quartic del Pezzo surface with A4 singularity. Annales de l’Institut Fourier, 59(3), 1231–1265. https://doi.org/10.5802/aif.2462
View | DOI
 
[32]
2009 | Book Chapter | IST-REx-ID: 164   OA
Browning, T. D., & Heath Brown, R. (2009). Integral points on cubic hypersurfaces. In Analytic Number Theory: Essays in honour of Klaus Roth (pp. 75–90). Cambridge University Press.
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[31]
2009 | Book | IST-REx-ID: 227
Browning, T. D. (2009). Quantitative arithmetic of projective varieties. Unknown (978-3-0346-0129-0) (Vol. 277, pp. 1–160). Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0129-0
View | DOI
 
[30]
2009 | Conference Paper | IST-REx-ID: 165
Browning, T. D. (2009). Resent progress on the quantitative arithmetic of del Pezzo surfaces. In T. Aoki, S. Kanemitsu, & J. Liu (Eds.) (Vol. 6, pp. 1–18). Presented at the Number Theory: Dreaming in dreams, World Scientific Publishing. https://doi.org/10.1142/9789814289924_0001
View | DOI
 
[29]
2009 | Journal Article | IST-REx-ID: 230
Browning, T. D., & Derenthal, U. (2009). Manin’s conjecture for a cubic surface with  D 5 singularity. International Mathematics Research Notices, 2009(14), 2620–2647. https://doi.org/10.1093/imrn/rnp029
View | DOI
 
[28]
2009 | Journal Article | IST-REx-ID: 228   OA
Browning, T. D., & Heath Brown, R. (2009). Rational points on quartic hypersurfaces. Journal Fur Die Reine Und Angewandte Mathematik, (629), 37–88. https://doi.org/10.1515/CRELLE.2009.026
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[27]
2009 | Journal Article | IST-REx-ID: 229   OA
Browning, T. D. (2009). Linear growth for Châtelet surfaces. Mathematische Annalen, 346(1), 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, R., & Browning, T. D. (2008). Binary linear forms as sums of two squares. Compositio Mathematica, 144(6), 1375–1402. https://doi.org/10.1112/S0010437X08003692
View | DOI
 
[25]
2008 | Journal Article | IST-REx-ID: 224
Browning, T. D., & Dietmann, R. (2008). On the representation of integers by quadratic forms. Proceedings of the London Mathematical Society, 96(2), 389–416. https://doi.org/10.1112/plms/pdm032
View | DOI
 
[24]
2007 | Book Chapter | IST-REx-ID: 167   OA
Browning, T. D., & Heath Brown, R. (2007). Simultaneous equal sums of three powers. In U. Zannier (Ed.), Diophantine Geometry (Vol. 4, pp. 93–100). Edizioni della Normale.
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[23]
2007 | Journal Article | IST-REx-ID: 220
Browning, T. D. (2007). Counting rational points on cubic hypersurfaces. Mathematika, 54(1–2), 93–112. https://doi.org/10.1112/S0025579300000243
View | DOI
 
[22]
2007 | Journal Article | IST-REx-ID: 219
De La Bretèche, R., Browning, T. D., & Derenthal, U. (2007). On Manin’s conjecture for a certain singular cubic surface. Annales Scientifiques de l’Ecole Normale Superieure, 40(1), 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, R., & Browning, T. D. (2007). On Manin’s conjecture for singular del Pezzo surfaces of degree four, I. Michigan Mathematical Journal, 55(1), 51–80. https://doi.org/10.1307/mmj/1177681985
View | Files available | DOI | arXiv
 
[20]
2007 | Preprint | IST-REx-ID: 6321   OA
Browning, T. D. (2007). The Manin conjecture in dimension 2. Arxiv. Arxiv.
View | Download (ext.) | arXiv
 
[19]
2007 | Journal Article | IST-REx-ID: 222   OA
De La Bretèche, R., & Browning, T. D. (2007). On Manin’s conjecture for singular del Pezzo surfaces of degree four, II. Mathematical Proceedings of the Cambridge Philosophical Society, 143(3), 579–605. https://doi.org/10.1017/S0305004107000205
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[18]
2007 | Journal Article | IST-REx-ID: 223   OA
Browning, T. D. (2007). Density of integer solutions to diagonal quadratic forms. Monatshefte Fur Mathematik, 152(1), 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, T. D. (2007). An overview of Manin’s conjecture for del Pezzo surfaces. In A Tribute to Gauss and Dirichlet (Vol. 7, pp. 39–56). American Mathematical Society.
View | Download (ext.) | arXiv
 
[16]
2006 | Journal Article | IST-REx-ID: 213
Browning, T. D., Heath Brown, R., & Starr, J. (2006). The density of rational points on non-singular hypersurfaces, II. Proceedings of the London Mathematical Society, 93(2), 273–303. https://doi.org/10.1112/S0024611506015784
View | DOI
 
[15]
2006 | Journal Article | IST-REx-ID: 218
De La Bretèche, R., & Browning, T. D. (2006). Sums of arithmetic functions over values of binary forms. Acta Arithmetica, 125(3), 291–304. https://doi.org/10.4064/aa125-3-6
View | DOI
 
[14]
2006 | Journal Article | IST-REx-ID: 215
Browning, T. D., & Heath Brown, R. (2006). The density of rational points on non-singular hypersurfaces, I. Bulletin of the London Mathematical Society, 38(3), 401–410. https://doi.org/10.1112/S0024609305018412
View | DOI
 
[13]
2006 | Journal Article | IST-REx-ID: 216
Browning, T. D., Heath Brown, R., & Salberger, P. (2006). Counting rational points on algebraic varieties. Duke Mathematical Journal, 132(3), 545–578. https://doi.org/10.1215/S0012-7094-06-13236-2
View | DOI
 
[12]
2005 | Journal Article | IST-REx-ID: 214   OA
Browning, T. D., & Heath Brown, R. (2005). Plane curves in boxes and equal sums of two powers. Mathematische Zeitschrift, 251(2), 233–247. https://doi.org/10.1007/s00209-004-0719-z
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[11]
2005 | Book | IST-REx-ID: 210
Davenport, H., & Browning, T. D. (2005). Analytic methods for diophantine equations and diophantine inequalities. Analytic methods for diophantine equations and diophantine inequalities (pp. 1–140). Cambridge University Press. https://doi.org/10.1017/CBO9780511542893
View | DOI
 
[10]
2005 | Journal Article | IST-REx-ID: 211
Browning, T. D. (2005). Equal sums of like polynomials. Bulletin of the London Mathematical Society, 37(6), 801–808. https://doi.org/10.1112/S0024609305004741
View | DOI
 
[9]
2005 | Journal Article | IST-REx-ID: 217
Browning, T. D. (2005). The density of rational points on a certain singular cubic surface. Journal of Number Theory, 119(2), 242–283. https://doi.org/10.1016/j.jnt.2005.11.007
View | DOI
 
[8]
2005 | Journal Article | IST-REx-ID: 212   OA
Browning, T. D., & Heath Brown, R. (2005). Counting rational points on hypersurfaces. Journal Fur Die Reine Und Angewandte Mathematik, (584), 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, T. D., & Heath Brown, R. (2004). Equal sums of three powers. Inventiones Mathematicae, 157(3), 553–573. https://doi.org/10.1007/s00222-004-0360-9
View | DOI
 
[6]
2003 | Journal Article | IST-REx-ID: 206
Browning, T. D. (2003). A note on the distribution of rational points on threefolds. Quarterly Journal of Mathematics, 54(1), 33–39. https://doi.org/10.1093/qjmath/54.1.33
View | DOI
 
[5]
2003 | Journal Article | IST-REx-ID: 207
Browning, T. D. (2003). Sums of four biquadrates. Mathematical Proceedings of the Cambridge Philosophical Society, 134(3), 385–395. https://doi.org/10.1017/S0305004102006382
View | DOI
 
[4]
2003 | Journal Article | IST-REx-ID: 208
Browning, T. D. (2003). Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics, 54(1), 11–31. https://doi.org/10.1093/qjmath/54.1.11
View | DOI
 
[3]
2003 | Journal Article | IST-REx-ID: 205
Browning, T. D. (2003). Counting rational points on cubic and quartic surfaces. Acta Arithmetica, 108(3), 275–295. https://doi.org/10.4064/aa108-3-7
View | DOI
 
[2]
2003 | Journal Article | IST-REx-ID: 166   OA
Browning, T. D., & Swarbick Jones, M. (2003). Counting rational points on del Pezzo surfaces of degree 5. Proceedings of the Bonn Session in Analytic Number Theory and Diophantine Equations, 360.
View | Download (ext.) | arXiv
 
[1]
2002 | Journal Article | IST-REx-ID: 204
Browning, T. D. (2002). Equal Sums of Two kth Powers. Journal of Number Theory, 96(2), 293–318. https://doi.org/10.1006/jnth.2002.2800
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