89 Publications

Mark all

[89]
2019 | Journal Article | IST-REx-ID: 170   OA
Counting rational points on quartic del Pezzo surfaces with a rational conic
T.D. Browning, E. Sofos, Mathematische Annalen 373 (2019) 977–1016.
View | Files available | DOI | arXiv
 
[88]
2019 | Journal Article | IST-REx-ID: 175   OA
Sieving rational points on varieties
T.D. Browning, D. Loughran, Transactions of the American Mathematical Society 371 (2019) 5757–5785.
View | Download (ext.) | arXiv
 
[87]
2019 | Journal Article | IST-REx-ID: 6310   OA
Counting rational points on biquadratic hypersurfaces
T.D. Browning, L.Q. Hu, Advances in Mathematics 349 (2019) 920–940.
View | Files available | DOI | arXiv
 
[86]
2018 | Conference Paper | IST-REx-ID: 174
How often does the Hasse principle hold?
T.D. Browning, in:, American Mathematical Society, 2018, pp. 89–102.
View | DOI
 
[85]
2018 | Preprint | IST-REx-ID: 179   OA
Density of rational points on a quadric bundle in ℙ3×ℙ3
T.D. Browning, R. Heath Brown, Unknown (2018) 1–60.
View | Download (ext.)
 
[84]
2018 | Preprint | IST-REx-ID: 176   OA
Averages of arithmetic functions over principal ideals
T.D. Browning, E. Sofos, International Journal of Nuber Theory (2018) 1–22.
View | Download (ext.) | arXiv
 
[83]
2018 | Journal Article | IST-REx-ID: 178   OA
Counting rational points on quadric surfaces
T.D. Browning, R. Heath-Brown, Discrete Analysis (2018) 1–31.
View | DOI | Download (ext.) | arXiv
 
[82]
2017 | Journal Article | IST-REx-ID: 268   OA
A transference approach to a Roth-type theorem in the squares
T.D. Browning, S. Prendiville, International Mathematics Research Notices 2017 (2017) 2219–2248.
View | DOI | Download (ext.)
 
[81]
2017 | Journal Article | IST-REx-ID: 270   OA
Power-free values of polynomials on symmetric varieties
T.D. Browning, A. Gorodnik, Proceedings of the London Mathematical Society 114 (2017) 1044–1080.
View | DOI | Download (ext.)
 
[80]
2017 | Journal Article | IST-REx-ID: 269   OA
Varieties with too many rational points
T.D. Browning, D. Loughran, Mathematische Zeitschrift 285 (2017) 1249–1267.
View | DOI | Download (ext.) | arXiv
 
[79]
2017 | Journal Article | IST-REx-ID: 271   OA
Improvements in Birch's theorem on forms in many variables
T.D. Browning, S. Prendiville, Journal Fur Die Reine Und Angewandte Mathematik 2017 (2017) 203–234.
View | DOI | Download (ext.)
 
[78]
2017 | Journal Article | IST-REx-ID: 169   OA
Twisted Linnik implies optimal covering exponent for S3
T.D. Browning, V. Kumaraswamy, R. Steiner, International Mathematics Research Notices (2017).
View | DOI | Download (ext.)
 
[77]
2017 | Journal Article | IST-REx-ID: 265
Rational curves on smooth hypersurfaces of low degree
T.D. Browning, P. Vishe, Geometric Methods in Algebra and Number Theory 11 (2017) 1657–1675.
View | DOI
 
[76]
2017 | Journal Article | IST-REx-ID: 272   OA
Norm forms for arbitrary number fields as products of linear polynomials
T.D. Browning, L. Matthiesen, Annales Scientifiques de l’Ecole Normale Superieure 50 (2017) 1383–1446.
View | DOI | Download (ext.)
 
[75]
2017 | Preprint | IST-REx-ID: 177   OA
A geometric version of the circle method
T.D. Browning, W. Sawin, Unknown (2017) 1–47.
View | Download (ext.)
 
[74]
2017 | Journal Article | IST-REx-ID: 172   OA
Strong approximation and a conjecture of Harpaz and Wittenberg
T.D. Browning, D. Schindler, International Mathematics Research Notices (2017).
View | DOI | Download (ext.)
 
[73]
2017 | Journal Article | IST-REx-ID: 266   OA
Forms in many variables and differing degrees
T.D. Browning, R. Heath Brown, Journal of the European Mathematical Society 19 (2017) 357–394.
View | DOI | Download (ext.)
 
[72]
2017 | Journal Article | IST-REx-ID: 267
Many cubic surfaces contain rational points
T.D. Browning, Mathematika 63 (2017) 818–839.
View | DOI
 
[71]
2016 | Journal Article | IST-REx-ID: 263   OA
Counting rational points on the Cayley ruled cubic
R. De La Bretèche, T.D. Browning, P. Salberger, European Journal of Mathematics 2 (2016) 55–72.
View | DOI | Download (ext.)
 
[70]
2016 | Journal Article | IST-REx-ID: 264   OA
Failures of weak approximation in families
M. Bright, T.D. Browning, D. Loughran, Compositio Mathematica 152 (2016) 1435–1475.
View | DOI | Download (ext.)
 
[69]
2016 | Journal Article | IST-REx-ID: 261
Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1
T.D. Browning, I. Vinogradov, Journal of the London Mathematical Society 94 (2016) 61–84.
View | DOI
 
[68]
2016 | Journal Article | IST-REx-ID: 173   OA
Square-free values of reducible polynomials
T.D. Browning, A. Booker, Discrete Analysis 8 (2016) 1–18.
View | Download (ext.)
 
[67]
2016 | Journal Article | IST-REx-ID: 262   OA
The proportion of failures of the Hasse norm principle
T.D. Browning, R. Newton, Mathematika 62 (2016) 337–347.
View | DOI | Download (ext.)
 
[66]
2015 | Journal Article | IST-REx-ID: 256   OA
Improvements in Birch's theorem on forms in many variables
T.D. Browning, S. Prendiville, Journal Fur Die Reine Und Angewandte Mathematik 2017 (2015).
View | DOI | Download (ext.)
 
[65]
2015 | Journal Article | IST-REx-ID: 257   OA
Pairs of diagonal quadratic forms and linear correlations among sums of two squares
T.D. Browning, R. Munshi, Forum Mathematicum 27 (2015) 2025–2050.
View | DOI | Download (ext.)
 
[64]
2015 | Journal Article | IST-REx-ID: 260
Erratum Rational points on intersections of cubic and quadric hypersurfaces
T.D. Browning, R. Dietmann, R. Heath Brown, Journal of the Institute of Mathematics of Jussieu 14 (2015).
View | DOI
 
[63]
2015 | Book Chapter | IST-REx-ID: 258
A survey of applications of the circle method to rational points
T.D. Browning, in:, Arithmetic and Geometry, Cambridge University Press, 2015, pp. 89–113.
View | DOI
 
[62]
2015 | Journal Article | IST-REx-ID: 259
Rational points on cubic hypersurfaces over F_q(t)
T.D. Browning, P. Vishe, Geometric and Functional Analysis 25 (2015) 671–732.
View | DOI
 
[61]
2014 | Journal Article | IST-REx-ID: 249
Cubic hypersurfaces and a version of the circle method for number fields
T.D. Browning, P. Vishe, Duke Mathematical Journal 163 (2014) 1825–1883.
View | DOI
 
[60]
2014 | Journal Article | IST-REx-ID: 252
Counting rational points on del Pezzo surfaces with a conic bundle structure
T.D. Browning, M. Jones, Acta Arithmetica 163 (2014) 271–298.
View | DOI
 
[59]
2014 | Journal Article | IST-REx-ID: 6319   OA
Contre-exemples au principe de Hasse pour certains tores coflasques
R. de la Bretèche, T.D. Browning, Journal de Théorie Des Nombres de Bordeaux 26 (2014) 25–44.
View | DOI | Download (ext.) | arXiv
 
[58]
2014 | Journal Article | IST-REx-ID: 254
The polynomial sieve and equal sums of like polynomials
T.D. Browning, International Mathematics Research Notices 2015 (2014) 1987–2019.
View | DOI
 
[57]
2014 | Journal Article | IST-REx-ID: 248   OA
Rational points on pencils of conics and quadrics with many degenerate fibres
T.D. Browning, L. Matthiesen, A. Skorobogatov, Annals of Mathematics 180 (2014) 381–402.
View | DOI | Download (ext.)
 
[56]
2014 | Journal Article | IST-REx-ID: 255
Rational points on intersections of cubic and quadric hypersurfaces
T.D. Browning, R. Dietmann, R. Heath Brown, Journal of the Institute of Mathematics of Jussieu 14 (2014) 703–749.
View | DOI
 
[55]
2013 | Journal Article | IST-REx-ID: 251
Counter examples to the Hasse principle among certain coflasque tori
R. De La Bretèche, T.D. Browning, Journal de Theorie Des Nombres de Bordeaux 26 (2013) 25–44.
View | DOI
 
[54]
2013 | Journal Article | IST-REx-ID: 245   OA
Inhomogeneous cubic congruences and rational points on del Pezzo surfaces
S. Baier, T.D. Browning, Journal Fur Die Reine Und Angewandte Mathematik (2013) 69–151.
View | DOI | Download (ext.)
 
[53]
2013 | Journal Article | IST-REx-ID: 246
Rational points on singular intersections of quadrics
T.D. Browning, R. Munshi, Compositio Mathematica 149 (2013) 1457–1494.
View | DOI
 
[52]
2013 | Journal Article | IST-REx-ID: 253
Counting rational points on cubic hypersurfaces: Corrigendum
T.D. Browning, Mathematika 60 (2013) 101–107.
View | DOI
 
[51]
2013 | Journal Article | IST-REx-ID: 247
The Lang-Weil estimate for cubic hypersurfaces
T.D. Browning, Canadian Mathematical Bulletin 56 (2013) 500–502.
View | DOI
 
[50]
2013 | Journal Article | IST-REx-ID: 250   OA
Density of Châtelet surfaces failing the Hasse principle
R. De La Bretèche, T.D. Browning, Proceedings of the London Mathematical Society 108 (2013) 1030–1078.
View | DOI | Download (ext.)
 
[49]
2012 | Journal Article | IST-REx-ID: 237
On Manin's conjecture for a family of Châtelet surfaces
R. De La Bretèche, T.D. Browning, E. Peyre, Annals of Mathematics 175 (2012) 297–343.
View | DOI
 
[48]
2012 | Journal Article | IST-REx-ID: 244   OA
Incomplete kloosterman sums and multiplicative inverses in short intervals
T.D. Browning, A. Haynes, International Journal of Number Theory 9 (2012) 481–486.
View | DOI | Download (ext.)
 
[47]
2012 | Journal Article | IST-REx-ID: 238
Inhomogeneous quadratic congruences
S. Baier, T.D. Browning, Functiones et Approximatio, Commentarii Mathematici 47 (2012) 267–286.
View | DOI
 
[46]
2012 | Journal Article | IST-REx-ID: 240
Sums of three squareful numbers
T.D. Browning, K.V. Valckenborgh, Experimental Mathematics 21 (2012) 204–211.
View | DOI
 
[45]
2012 | Journal Article | IST-REx-ID: 171   OA
Inhomogeneous cubic congruences and rational points on del Pezzo surfaces
T.D. Browning, S. Baier, Journal Fur Die Reine Und Angewandte Mathematik 2013 (2012) 1–65.
View | DOI | Download (ext.)
 
[44]
2012 | Journal Article | IST-REx-ID: 241
Binary forms as sums of two squares and Châtelet surfaces
R. De La Bretèche, T.D. Browning, Israel Journal of Mathematics 191 (2012) 973–1012.
View | DOI
 
[43]
2012 | Journal Article | IST-REx-ID: 242   OA
Averages of shifted convolutions of d3 (n)
S. Baier, T.D. Browning, G. Marasingha, L. Zhao, Proceedings of the Edinburgh Mathematical Society 55 (2012) 551–576.
View | DOI | Download (ext.)
 
[42]
2012 | Journal Article | IST-REx-ID: 243
Quadratic polynomials represented by norm forms
T.D. Browning, R. Heath Brown, Geometric and Functional Analysis 22 (2012) 1124–1190.
View | DOI
 
[41]
2011 | Journal Article | IST-REx-ID: 233
Power-free values of polynomials
T.D. Browning, Archiv Der Mathematik 96 (2011) 139–150.
View | DOI
 
[40]
2011 | Journal Article | IST-REx-ID: 234
The divisor problem for binary cubic forms
T.D. Browning, Journal de Theorie Des Nombres de Bordeaux 23 (2011) 579–602.
View | DOI
 
[39]
2011 | Journal Article | IST-REx-ID: 239
Least zero of a cubic form
T.D. Browning, R. Dietmann, P. Elliott, Mathematische Annalen 352 (2011) 745–778.
View | DOI
 
[38]
2011 | Journal Article | IST-REx-ID: 235
The number of representations of rationals as a sum of unit fractions
T.D. Browning, C. Elsholtz, Illinois Journal of Mathematics 55 (2011) 685–696.
View
 
[37]
2011 | Journal Article | IST-REx-ID: 236
Manin's conjecture for quartic Del Pezzo surfaces with a conic fibration
R. De La Bretèche, T.D. Browning, Duke Mathematical Journal 160 (2011) 1–69.
View | DOI
 
[36]
2010 | Journal Article | IST-REx-ID: 6320   OA
Le problème des diviseurs pour des formes binaires de degré 4
R. de la Bretèche, T.D. Browning, Crelles Journal 2010 (2010) 1–44.
View | DOI | Download (ext.) | arXiv
 
[35]
2010 | Journal Article | IST-REx-ID: 231
Rational points on cubic hypersurfaces that split off a form. With an appendix by J-L Colliot-Thélène
T.D. Browning, J. Colliot Thélène, Compositio Mathematica 146 (2010) 853–885.
View | DOI
 
[34]
2009 | Book Chapter | IST-REx-ID: 168
Solubility of Fermat equations
T.D. Browning, R. Dietmann, in:, Quadratic Forms - Algebra, Arithmetic and Geometry, American Mathematical Society, 2009, pp. 99–106.
View | DOI | Download (ext.)
 
[33]
2009 | Journal Article | IST-REx-ID: 226
Manin's conjecture for a quartic del Pezzo surface with A4 singularity
T.D. Browning, U. Derenthal, Annales de l’Institut Fourier 59 (2009) 1231–1265.
View | DOI
 
[32]
2009 | Book Chapter | IST-REx-ID: 164   OA
Integral points on cubic hypersurfaces
T.D. Browning, R. Heath Brown, in:, Analytic Number Theory: Essays in Honour of Klaus Roth, Cambridge University Press, 2009, pp. 75–90.
View | Download (ext.)
 
[31]
2009 | Book | IST-REx-ID: 227
Quantitative arithmetic of projective varieties
T.D. Browning, Quantitative Arithmetic of Projective Varieties, Birkhäuser Basel, 2009.
View | DOI
 
[30]
2009 | Conference Paper | IST-REx-ID: 165
Resent progress on the quantitative arithmetic of del Pezzo surfaces
T.D. Browning, in:, T. Aoki, S. Kanemitsu, J. Liu (Eds.), World Scientific Publishing, 2009, pp. 1–18.
View | DOI
 
[29]
2009 | Journal Article | IST-REx-ID: 230
Manin's conjecture for a cubic surface with D 5 singularity
T.D. Browning, U. Derenthal, International Mathematics Research Notices 2009 (2009) 2620–2647.
View | DOI
 
[28]
2009 | Journal Article | IST-REx-ID: 228   OA
Rational points on quartic hypersurfaces
T.D. Browning, R. Heath Brown, Journal Fur Die Reine Und Angewandte Mathematik (2009) 37–88.
View | DOI | Download (ext.)
 
[27]
2009 | Journal Article | IST-REx-ID: 229   OA
Linear growth for Châtelet surfaces
T.D. Browning, Mathematische Annalen 346 (2009) 41–50.
View | DOI | Download (ext.)
 
[26]
2008 | Journal Article | IST-REx-ID: 225
Binary linear forms as sums of two squares
R. De La Bretèche, T.D. Browning, Compositio Mathematica 144 (2008) 1375–1402.
View | DOI
 
[25]
2008 | Journal Article | IST-REx-ID: 224
On the representation of integers by quadratic forms
T.D. Browning, R. Dietmann, Proceedings of the London Mathematical Society 96 (2008) 389–416.
View | DOI
 
[24]
2007 | Book Chapter | IST-REx-ID: 167   OA
Simultaneous equal sums of three powers
T.D. Browning, R. Heath Brown, in:, U. Zannier (Ed.), Diophantine Geometry, Edizioni della Normale, 2007, pp. 93–100.
View | Download (ext.)
 
[23]
2007 | Journal Article | IST-REx-ID: 220
Counting rational points on cubic hypersurfaces
T.D. Browning, Mathematika 54 (2007) 93–112.
View | DOI
 
[22]
2007 | Journal Article | IST-REx-ID: 219
On Manin's conjecture for a certain singular cubic surface
R. De La Bretèche, T.D. Browning, U. Derenthal, Annales Scientifiques de l’Ecole Normale Superieure 40 (2007) 1–50.
View | DOI
 
[21]
2007 | Journal Article | IST-REx-ID: 221   OA
On Manin's conjecture for singular del Pezzo surfaces of degree four, I
R. De La Bretèche, T.D. Browning, Michigan Mathematical Journal 55 (2007) 51–80.
View | Files available | DOI | arXiv
 
[20]
2007 | Preprint | IST-REx-ID: 6321   OA
The Manin conjecture in dimension 2
T.D. Browning, Arxiv (2007) 1–57.
View | Download (ext.) | arXiv
 
[19]
2007 | Journal Article | IST-REx-ID: 222   OA
On Manin's conjecture for singular del Pezzo surfaces of degree four, II
R. De La Bretèche, T.D. Browning, Mathematical Proceedings of the Cambridge Philosophical Society 143 (2007) 579–605.
View | DOI | Download (ext.)
 
[18]
2007 | Journal Article | IST-REx-ID: 223   OA
Density of integer solutions to diagonal quadratic forms
T.D. Browning, Monatshefte Fur Mathematik 152 (2007) 13–38.
View | DOI | Download (ext.)
 
[17]
2007 | Book Chapter | IST-REx-ID: 6323   OA
An overview of Manin's conjecture for del Pezzo surfaces
T.D. Browning, in:, A Tribute to Gauss and Dirichlet, American Mathematical Society, 2007, pp. 39–56.
View | Download (ext.) | arXiv
 
[16]
2006 | Journal Article | IST-REx-ID: 213
The density of rational points on non-singular hypersurfaces, II
T.D. Browning, R. Heath Brown, J. Starr, Proceedings of the London Mathematical Society 93 (2006) 273–303.
View | DOI
 
[15]
2006 | Journal Article | IST-REx-ID: 218
Sums of arithmetic functions over values of binary forms
R. De La Bretèche, T.D. Browning, Acta Arithmetica 125 (2006) 291–304.
View | DOI
 
[14]
2006 | Journal Article | IST-REx-ID: 215
The density of rational points on non-singular hypersurfaces, I
T.D. Browning, R. Heath Brown, Bulletin of the London Mathematical Society 38 (2006) 401–410.
View | DOI
 
[13]
2006 | Journal Article | IST-REx-ID: 216
Counting rational points on algebraic varieties
T.D. Browning, R. Heath Brown, P. Salberger, Duke Mathematical Journal 132 (2006) 545–578.
View | DOI
 
[12]
2005 | Journal Article | IST-REx-ID: 214   OA
Plane curves in boxes and equal sums of two powers
T.D. Browning, R. Heath Brown, Mathematische Zeitschrift 251 (2005) 233–247.
View | DOI | Download (ext.)
 
[11]
2005 | Book | IST-REx-ID: 210
Analytic methods for diophantine equations and diophantine inequalities
H. Davenport, T.D. Browning, Analytic Methods for Diophantine Equations and Diophantine Inequalities, Cambridge University Press, 2005.
View | DOI
 
[10]
2005 | Journal Article | IST-REx-ID: 211
Equal sums of like polynomials
T.D. Browning, Bulletin of the London Mathematical Society 37 (2005) 801–808.
View | DOI
 
[9]
2005 | Journal Article | IST-REx-ID: 217
The density of rational points on a certain singular cubic surface
T.D. Browning, Journal of Number Theory 119 (2005) 242–283.
View | DOI
 
[8]
2005 | Journal Article | IST-REx-ID: 212   OA
Counting rational points on hypersurfaces
T.D. Browning, R. Heath Brown, Journal Fur Die Reine Und Angewandte Mathematik (2005) 83–115.
View | DOI | Download (ext.)
 
[7]
2004 | Journal Article | IST-REx-ID: 209
Equal sums of three powers
T.D. Browning, R. Heath Brown, Inventiones Mathematicae 157 (2004) 553–573.
View | DOI
 
[6]
2003 | Journal Article | IST-REx-ID: 206
A note on the distribution of rational points on threefolds
T.D. Browning, Quarterly Journal of Mathematics 54 (2003) 33–39.
View | DOI
 
[5]
2003 | Journal Article | IST-REx-ID: 207
Sums of four biquadrates
T.D. Browning, Mathematical Proceedings of the Cambridge Philosophical Society 134 (2003) 385–395.
View | DOI
 
[4]
2003 | Journal Article | IST-REx-ID: 208
Counting rational points on diagonal quadratic surfaces
T.D. Browning, Quarterly Journal of Mathematics 54 (2003) 11–31.
View | DOI
 
[3]
2003 | Journal Article | IST-REx-ID: 166   OA
Counting rational points on del Pezzo surfaces of degree 5
T.D. Browning, M. Swarbick Jones, 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
Counting rational points on cubic and quartic surfaces
T.D. Browning, Acta Arithmetica 108 (2003) 275–295.
View | DOI
 
[1]
2002 | Journal Article | IST-REx-ID: 204
Equal Sums of Two kth Powers
T.D. Browning, Journal of Number Theory 96 (2002) 293–318.
View | DOI
 

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89 Publications

Mark all

[89]
2019 | Journal Article | IST-REx-ID: 170   OA
Counting rational points on quartic del Pezzo surfaces with a rational conic
T.D. Browning, E. Sofos, Mathematische Annalen 373 (2019) 977–1016.
View | Files available | DOI | arXiv
 
[88]
2019 | Journal Article | IST-REx-ID: 175   OA
Sieving rational points on varieties
T.D. Browning, D. Loughran, Transactions of the American Mathematical Society 371 (2019) 5757–5785.
View | Download (ext.) | arXiv
 
[87]
2019 | Journal Article | IST-REx-ID: 6310   OA
Counting rational points on biquadratic hypersurfaces
T.D. Browning, L.Q. Hu, Advances in Mathematics 349 (2019) 920–940.
View | Files available | DOI | arXiv
 
[86]
2018 | Conference Paper | IST-REx-ID: 174
How often does the Hasse principle hold?
T.D. Browning, in:, American Mathematical Society, 2018, pp. 89–102.
View | DOI
 
[85]
2018 | Preprint | IST-REx-ID: 179   OA
Density of rational points on a quadric bundle in ℙ3×ℙ3
T.D. Browning, R. Heath Brown, Unknown (2018) 1–60.
View | Download (ext.)
 
[84]
2018 | Preprint | IST-REx-ID: 176   OA
Averages of arithmetic functions over principal ideals
T.D. Browning, E. Sofos, International Journal of Nuber Theory (2018) 1–22.
View | Download (ext.) | arXiv
 
[83]
2018 | Journal Article | IST-REx-ID: 178   OA
Counting rational points on quadric surfaces
T.D. Browning, R. Heath-Brown, Discrete Analysis (2018) 1–31.
View | DOI | Download (ext.) | arXiv
 
[82]
2017 | Journal Article | IST-REx-ID: 268   OA
A transference approach to a Roth-type theorem in the squares
T.D. Browning, S. Prendiville, International Mathematics Research Notices 2017 (2017) 2219–2248.
View | DOI | Download (ext.)
 
[81]
2017 | Journal Article | IST-REx-ID: 270   OA
Power-free values of polynomials on symmetric varieties
T.D. Browning, A. Gorodnik, Proceedings of the London Mathematical Society 114 (2017) 1044–1080.
View | DOI | Download (ext.)
 
[80]
2017 | Journal Article | IST-REx-ID: 269   OA
Varieties with too many rational points
T.D. Browning, D. Loughran, Mathematische Zeitschrift 285 (2017) 1249–1267.
View | DOI | Download (ext.) | arXiv
 
[79]
2017 | Journal Article | IST-REx-ID: 271   OA
Improvements in Birch's theorem on forms in many variables
T.D. Browning, S. Prendiville, Journal Fur Die Reine Und Angewandte Mathematik 2017 (2017) 203–234.
View | DOI | Download (ext.)
 
[78]
2017 | Journal Article | IST-REx-ID: 169   OA
Twisted Linnik implies optimal covering exponent for S3
T.D. Browning, V. Kumaraswamy, R. Steiner, International Mathematics Research Notices (2017).
View | DOI | Download (ext.)
 
[77]
2017 | Journal Article | IST-REx-ID: 265
Rational curves on smooth hypersurfaces of low degree
T.D. Browning, P. Vishe, Geometric Methods in Algebra and Number Theory 11 (2017) 1657–1675.
View | DOI
 
[76]
2017 | Journal Article | IST-REx-ID: 272   OA
Norm forms for arbitrary number fields as products of linear polynomials
T.D. Browning, L. Matthiesen, Annales Scientifiques de l’Ecole Normale Superieure 50 (2017) 1383–1446.
View | DOI | Download (ext.)
 
[75]
2017 | Preprint | IST-REx-ID: 177   OA
A geometric version of the circle method
T.D. Browning, W. Sawin, Unknown (2017) 1–47.
View | Download (ext.)
 
[74]
2017 | Journal Article | IST-REx-ID: 172   OA
Strong approximation and a conjecture of Harpaz and Wittenberg
T.D. Browning, D. Schindler, International Mathematics Research Notices (2017).
View | DOI | Download (ext.)
 
[73]
2017 | Journal Article | IST-REx-ID: 266   OA
Forms in many variables and differing degrees
T.D. Browning, R. Heath Brown, Journal of the European Mathematical Society 19 (2017) 357–394.
View | DOI | Download (ext.)
 
[72]
2017 | Journal Article | IST-REx-ID: 267
Many cubic surfaces contain rational points
T.D. Browning, Mathematika 63 (2017) 818–839.
View | DOI
 
[71]
2016 | Journal Article | IST-REx-ID: 263   OA
Counting rational points on the Cayley ruled cubic
R. De La Bretèche, T.D. Browning, P. Salberger, European Journal of Mathematics 2 (2016) 55–72.
View | DOI | Download (ext.)
 
[70]
2016 | Journal Article | IST-REx-ID: 264   OA
Failures of weak approximation in families
M. Bright, T.D. Browning, D. Loughran, Compositio Mathematica 152 (2016) 1435–1475.
View | DOI | Download (ext.)
 
[69]
2016 | Journal Article | IST-REx-ID: 261
Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1
T.D. Browning, I. Vinogradov, Journal of the London Mathematical Society 94 (2016) 61–84.
View | DOI
 
[68]
2016 | Journal Article | IST-REx-ID: 173   OA
Square-free values of reducible polynomials
T.D. Browning, A. Booker, Discrete Analysis 8 (2016) 1–18.
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[67]
2016 | Journal Article | IST-REx-ID: 262   OA
The proportion of failures of the Hasse norm principle
T.D. Browning, R. Newton, Mathematika 62 (2016) 337–347.
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[66]
2015 | Journal Article | IST-REx-ID: 256   OA
Improvements in Birch's theorem on forms in many variables
T.D. Browning, S. Prendiville, Journal Fur Die Reine Und Angewandte Mathematik 2017 (2015).
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[65]
2015 | Journal Article | IST-REx-ID: 257   OA
Pairs of diagonal quadratic forms and linear correlations among sums of two squares
T.D. Browning, R. Munshi, Forum Mathematicum 27 (2015) 2025–2050.
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[64]
2015 | Journal Article | IST-REx-ID: 260
Erratum Rational points on intersections of cubic and quadric hypersurfaces
T.D. Browning, R. Dietmann, R. Heath Brown, Journal of the Institute of Mathematics of Jussieu 14 (2015).
View | DOI
 
[63]
2015 | Book Chapter | IST-REx-ID: 258
A survey of applications of the circle method to rational points
T.D. Browning, in:, Arithmetic and Geometry, Cambridge University Press, 2015, pp. 89–113.
View | DOI
 
[62]
2015 | Journal Article | IST-REx-ID: 259
Rational points on cubic hypersurfaces over F_q(t)
T.D. Browning, P. Vishe, Geometric and Functional Analysis 25 (2015) 671–732.
View | DOI
 
[61]
2014 | Journal Article | IST-REx-ID: 249
Cubic hypersurfaces and a version of the circle method for number fields
T.D. Browning, P. Vishe, Duke Mathematical Journal 163 (2014) 1825–1883.
View | DOI
 
[60]
2014 | Journal Article | IST-REx-ID: 252
Counting rational points on del Pezzo surfaces with a conic bundle structure
T.D. Browning, M. Jones, Acta Arithmetica 163 (2014) 271–298.
View | DOI
 
[59]
2014 | Journal Article | IST-REx-ID: 6319   OA
Contre-exemples au principe de Hasse pour certains tores coflasques
R. de la Bretèche, T.D. Browning, Journal de Théorie Des Nombres de Bordeaux 26 (2014) 25–44.
View | DOI | Download (ext.) | arXiv
 
[58]
2014 | Journal Article | IST-REx-ID: 254
The polynomial sieve and equal sums of like polynomials
T.D. Browning, International Mathematics Research Notices 2015 (2014) 1987–2019.
View | DOI
 
[57]
2014 | Journal Article | IST-REx-ID: 248   OA
Rational points on pencils of conics and quadrics with many degenerate fibres
T.D. Browning, L. Matthiesen, A. Skorobogatov, Annals of Mathematics 180 (2014) 381–402.
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[56]
2014 | Journal Article | IST-REx-ID: 255
Rational points on intersections of cubic and quadric hypersurfaces
T.D. Browning, R. Dietmann, R. Heath Brown, Journal of the Institute of Mathematics of Jussieu 14 (2014) 703–749.
View | DOI
 
[55]
2013 | Journal Article | IST-REx-ID: 251
Counter examples to the Hasse principle among certain coflasque tori
R. De La Bretèche, T.D. Browning, Journal de Theorie Des Nombres de Bordeaux 26 (2013) 25–44.
View | DOI
 
[54]
2013 | Journal Article | IST-REx-ID: 245   OA
Inhomogeneous cubic congruences and rational points on del Pezzo surfaces
S. Baier, T.D. Browning, Journal Fur Die Reine Und Angewandte Mathematik (2013) 69–151.
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[53]
2013 | Journal Article | IST-REx-ID: 246
Rational points on singular intersections of quadrics
T.D. Browning, R. Munshi, Compositio Mathematica 149 (2013) 1457–1494.
View | DOI
 
[52]
2013 | Journal Article | IST-REx-ID: 253
Counting rational points on cubic hypersurfaces: Corrigendum
T.D. Browning, Mathematika 60 (2013) 101–107.
View | DOI
 
[51]
2013 | Journal Article | IST-REx-ID: 247
The Lang-Weil estimate for cubic hypersurfaces
T.D. Browning, Canadian Mathematical Bulletin 56 (2013) 500–502.
View | DOI
 
[50]
2013 | Journal Article | IST-REx-ID: 250   OA
Density of Châtelet surfaces failing the Hasse principle
R. De La Bretèche, T.D. Browning, Proceedings of the London Mathematical Society 108 (2013) 1030–1078.
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[49]
2012 | Journal Article | IST-REx-ID: 237
On Manin's conjecture for a family of Châtelet surfaces
R. De La Bretèche, T.D. Browning, E. Peyre, Annals of Mathematics 175 (2012) 297–343.
View | DOI
 
[48]
2012 | Journal Article | IST-REx-ID: 244   OA
Incomplete kloosterman sums and multiplicative inverses in short intervals
T.D. Browning, A. Haynes, International Journal of Number Theory 9 (2012) 481–486.
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[47]
2012 | Journal Article | IST-REx-ID: 238
Inhomogeneous quadratic congruences
S. Baier, T.D. Browning, Functiones et Approximatio, Commentarii Mathematici 47 (2012) 267–286.
View | DOI
 
[46]
2012 | Journal Article | IST-REx-ID: 240
Sums of three squareful numbers
T.D. Browning, K.V. Valckenborgh, Experimental Mathematics 21 (2012) 204–211.
View | DOI
 
[45]
2012 | Journal Article | IST-REx-ID: 171   OA
Inhomogeneous cubic congruences and rational points on del Pezzo surfaces
T.D. Browning, S. Baier, Journal Fur Die Reine Und Angewandte Mathematik 2013 (2012) 1–65.
View | DOI | Download (ext.)
 
[44]
2012 | Journal Article | IST-REx-ID: 241
Binary forms as sums of two squares and Châtelet surfaces
R. De La Bretèche, T.D. Browning, Israel Journal of Mathematics 191 (2012) 973–1012.
View | DOI
 
[43]
2012 | Journal Article | IST-REx-ID: 242   OA
Averages of shifted convolutions of d3 (n)
S. Baier, T.D. Browning, G. Marasingha, L. Zhao, Proceedings of the Edinburgh Mathematical Society 55 (2012) 551–576.
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[42]
2012 | Journal Article | IST-REx-ID: 243
Quadratic polynomials represented by norm forms
T.D. Browning, R. Heath Brown, Geometric and Functional Analysis 22 (2012) 1124–1190.
View | DOI
 
[41]
2011 | Journal Article | IST-REx-ID: 233
Power-free values of polynomials
T.D. Browning, Archiv Der Mathematik 96 (2011) 139–150.
View | DOI
 
[40]
2011 | Journal Article | IST-REx-ID: 234
The divisor problem for binary cubic forms
T.D. Browning, Journal de Theorie Des Nombres de Bordeaux 23 (2011) 579–602.
View | DOI
 
[39]
2011 | Journal Article | IST-REx-ID: 239
Least zero of a cubic form
T.D. Browning, R. Dietmann, P. Elliott, Mathematische Annalen 352 (2011) 745–778.
View | DOI
 
[38]
2011 | Journal Article | IST-REx-ID: 235
The number of representations of rationals as a sum of unit fractions
T.D. Browning, C. Elsholtz, Illinois Journal of Mathematics 55 (2011) 685–696.
View
 
[37]
2011 | Journal Article | IST-REx-ID: 236
Manin's conjecture for quartic Del Pezzo surfaces with a conic fibration
R. De La Bretèche, T.D. Browning, Duke Mathematical Journal 160 (2011) 1–69.
View | DOI
 
[36]
2010 | Journal Article | IST-REx-ID: 6320   OA
Le problème des diviseurs pour des formes binaires de degré 4
R. de la Bretèche, T.D. Browning, Crelles Journal 2010 (2010) 1–44.
View | DOI | Download (ext.) | arXiv
 
[35]
2010 | Journal Article | IST-REx-ID: 231
Rational points on cubic hypersurfaces that split off a form. With an appendix by J-L Colliot-Thélène
T.D. Browning, J. Colliot Thélène, Compositio Mathematica 146 (2010) 853–885.
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[34]
2009 | Book Chapter | IST-REx-ID: 168
Solubility of Fermat equations
T.D. Browning, R. Dietmann, in:, Quadratic Forms - Algebra, Arithmetic and Geometry, American Mathematical Society, 2009, pp. 99–106.
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[33]
2009 | Journal Article | IST-REx-ID: 226
Manin's conjecture for a quartic del Pezzo surface with A4 singularity
T.D. Browning, U. Derenthal, Annales de l’Institut Fourier 59 (2009) 1231–1265.
View | DOI
 
[32]
2009 | Book Chapter | IST-REx-ID: 164   OA
Integral points on cubic hypersurfaces
T.D. Browning, R. Heath Brown, in:, Analytic Number Theory: Essays in Honour of Klaus Roth, Cambridge University Press, 2009, pp. 75–90.
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[31]
2009 | Book | IST-REx-ID: 227
Quantitative arithmetic of projective varieties
T.D. Browning, Quantitative Arithmetic of Projective Varieties, Birkhäuser Basel, 2009.
View | DOI
 
[30]
2009 | Conference Paper | IST-REx-ID: 165
Resent progress on the quantitative arithmetic of del Pezzo surfaces
T.D. Browning, in:, T. Aoki, S. Kanemitsu, J. Liu (Eds.), World Scientific Publishing, 2009, pp. 1–18.
View | DOI
 
[29]
2009 | Journal Article | IST-REx-ID: 230
Manin's conjecture for a cubic surface with D 5 singularity
T.D. Browning, U. Derenthal, International Mathematics Research Notices 2009 (2009) 2620–2647.
View | DOI
 
[28]
2009 | Journal Article | IST-REx-ID: 228   OA
Rational points on quartic hypersurfaces
T.D. Browning, R. Heath Brown, Journal Fur Die Reine Und Angewandte Mathematik (2009) 37–88.
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[27]
2009 | Journal Article | IST-REx-ID: 229   OA
Linear growth for Châtelet surfaces
T.D. Browning, Mathematische Annalen 346 (2009) 41–50.
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[26]
2008 | Journal Article | IST-REx-ID: 225
Binary linear forms as sums of two squares
R. De La Bretèche, T.D. Browning, Compositio Mathematica 144 (2008) 1375–1402.
View | DOI
 
[25]
2008 | Journal Article | IST-REx-ID: 224
On the representation of integers by quadratic forms
T.D. Browning, R. Dietmann, Proceedings of the London Mathematical Society 96 (2008) 389–416.
View | DOI
 
[24]
2007 | Book Chapter | IST-REx-ID: 167   OA
Simultaneous equal sums of three powers
T.D. Browning, R. Heath Brown, in:, U. Zannier (Ed.), Diophantine Geometry, Edizioni della Normale, 2007, pp. 93–100.
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[23]
2007 | Journal Article | IST-REx-ID: 220
Counting rational points on cubic hypersurfaces
T.D. Browning, Mathematika 54 (2007) 93–112.
View | DOI
 
[22]
2007 | Journal Article | IST-REx-ID: 219
On Manin's conjecture for a certain singular cubic surface
R. De La Bretèche, T.D. Browning, U. Derenthal, Annales Scientifiques de l’Ecole Normale Superieure 40 (2007) 1–50.
View | DOI
 
[21]
2007 | Journal Article | IST-REx-ID: 221   OA
On Manin's conjecture for singular del Pezzo surfaces of degree four, I
R. De La Bretèche, T.D. Browning, Michigan Mathematical Journal 55 (2007) 51–80.
View | Files available | DOI | arXiv
 
[20]
2007 | Preprint | IST-REx-ID: 6321   OA
The Manin conjecture in dimension 2
T.D. Browning, Arxiv (2007) 1–57.
View | Download (ext.) | arXiv
 
[19]
2007 | Journal Article | IST-REx-ID: 222   OA
On Manin's conjecture for singular del Pezzo surfaces of degree four, II
R. De La Bretèche, T.D. Browning, Mathematical Proceedings of the Cambridge Philosophical Society 143 (2007) 579–605.
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[18]
2007 | Journal Article | IST-REx-ID: 223   OA
Density of integer solutions to diagonal quadratic forms
T.D. Browning, Monatshefte Fur Mathematik 152 (2007) 13–38.
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[17]
2007 | Book Chapter | IST-REx-ID: 6323   OA
An overview of Manin's conjecture for del Pezzo surfaces
T.D. Browning, in:, A Tribute to Gauss and Dirichlet, American Mathematical Society, 2007, pp. 39–56.
View | Download (ext.) | arXiv
 
[16]
2006 | Journal Article | IST-REx-ID: 213
The density of rational points on non-singular hypersurfaces, II
T.D. Browning, R. Heath Brown, J. Starr, Proceedings of the London Mathematical Society 93 (2006) 273–303.
View | DOI
 
[15]
2006 | Journal Article | IST-REx-ID: 218
Sums of arithmetic functions over values of binary forms
R. De La Bretèche, T.D. Browning, Acta Arithmetica 125 (2006) 291–304.
View | DOI
 
[14]
2006 | Journal Article | IST-REx-ID: 215
The density of rational points on non-singular hypersurfaces, I
T.D. Browning, R. Heath Brown, Bulletin of the London Mathematical Society 38 (2006) 401–410.
View | DOI
 
[13]
2006 | Journal Article | IST-REx-ID: 216
Counting rational points on algebraic varieties
T.D. Browning, R. Heath Brown, P. Salberger, Duke Mathematical Journal 132 (2006) 545–578.
View | DOI
 
[12]
2005 | Journal Article | IST-REx-ID: 214   OA
Plane curves in boxes and equal sums of two powers
T.D. Browning, R. Heath Brown, Mathematische Zeitschrift 251 (2005) 233–247.
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[11]
2005 | Book | IST-REx-ID: 210
Analytic methods for diophantine equations and diophantine inequalities
H. Davenport, T.D. Browning, Analytic Methods for Diophantine Equations and Diophantine Inequalities, Cambridge University Press, 2005.
View | DOI
 
[10]
2005 | Journal Article | IST-REx-ID: 211
Equal sums of like polynomials
T.D. Browning, Bulletin of the London Mathematical Society 37 (2005) 801–808.
View | DOI
 
[9]
2005 | Journal Article | IST-REx-ID: 217
The density of rational points on a certain singular cubic surface
T.D. Browning, Journal of Number Theory 119 (2005) 242–283.
View | DOI
 
[8]
2005 | Journal Article | IST-REx-ID: 212   OA
Counting rational points on hypersurfaces
T.D. Browning, R. Heath Brown, Journal Fur Die Reine Und Angewandte Mathematik (2005) 83–115.
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[7]
2004 | Journal Article | IST-REx-ID: 209
Equal sums of three powers
T.D. Browning, R. Heath Brown, Inventiones Mathematicae 157 (2004) 553–573.
View | DOI
 
[6]
2003 | Journal Article | IST-REx-ID: 206
A note on the distribution of rational points on threefolds
T.D. Browning, Quarterly Journal of Mathematics 54 (2003) 33–39.
View | DOI
 
[5]
2003 | Journal Article | IST-REx-ID: 207
Sums of four biquadrates
T.D. Browning, Mathematical Proceedings of the Cambridge Philosophical Society 134 (2003) 385–395.
View | DOI
 
[4]
2003 | Journal Article | IST-REx-ID: 208
Counting rational points on diagonal quadratic surfaces
T.D. Browning, Quarterly Journal of Mathematics 54 (2003) 11–31.
View | DOI
 
[3]
2003 | Journal Article | IST-REx-ID: 166   OA
Counting rational points on del Pezzo surfaces of degree 5
T.D. Browning, M. Swarbick Jones, 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
Counting rational points on cubic and quartic surfaces
T.D. Browning, Acta Arithmetica 108 (2003) 275–295.
View | DOI
 
[1]
2002 | Journal Article | IST-REx-ID: 204
Equal Sums of Two kth Powers
T.D. Browning, Journal of Number Theory 96 (2002) 293–318.
View | DOI
 

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