95 Publications

Mark all

[95]
2021 | Journal Article | IST-REx-ID: 8742 | OA
The geometric sieve for quadrics
T.D. Browning, R. Heath-Brown, Forum Mathematicum 33 (2021) 147–165.
View | DOI | Download Preprint (ext.) | arXiv
 
[94]
2021 | Preprint | IST-REx-ID: 9199 | OA
Equidistribution and freeness on Grassmannians
T.D. Browning, T. Horesh, F.A. Wilsch, ArXiv (n.d.).
View | Download Preprint (ext.) | arXiv
 
[93]
2021 | Journal Article | IST-REx-ID: 9260 | OA
Arithmetic of higher-dimensional orbifolds and a mixed Waring problem
T.D. Browning, S. Yamagishi, Mathematische Zeitschrift (2021).
View | Files available | DOI
 
[92]
2020 | Preprint | IST-REx-ID: 8682 | OA
The Hasse principle for random Fano hypersurfaces
T.D. Browning, P.L. Boudec, W. Sawin, ArXiv (n.d.).
View | Files available | Download Preprint (ext.) | arXiv
 
[91]
2020 | Journal Article | IST-REx-ID: 177 | OA
A geometric version of the circle method
T.D. Browning, W. Sawin, Annals of Mathematics 191 (2020) 893–948.
View | DOI | Download Preprint (ext.) | arXiv
 
[90]
2020 | Journal Article | IST-REx-ID: 179 | OA
Density of rational points on a quadric bundle in ℙ3×ℙ3
T.D. Browning, R. Heath Brown, Duke Mathematical Journal 169 (2020) 3099–3165.
View | DOI | Download Preprint (ext.) | arXiv
 
[89]
2020 | Journal Article | IST-REx-ID: 9007 | OA
Free rational points on smooth hypersurfaces
T.D. Browning, W. Sawin, Commentarii Mathematici Helvetici 95 (2020) 635–659.
View | DOI | Download Preprint (ext.) | arXiv
 
[88]
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
 
[87]
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 | DOI | Download Preprint (ext.) | arXiv
 
[86]
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
 
[85]
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
 
[84]
2018 | Journal Article | IST-REx-ID: 176 | OA
Averages of arithmetic functions over principal ideals
T.D. Browning, E. Sofos, International Journal of Nuber Theory 15 (2018) 547–567.
View | DOI | Download Preprint (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 15 (2018) 1–29.
View | DOI | Download Preprint (ext.) | arXiv
 
[82]
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
 
[81]
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.
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[80]
2017 | Journal Article | IST-REx-ID: 267
Many cubic surfaces contain rational points
T.D. Browning, Mathematika 63 (2017) 818–839.
View | DOI
 
[79]
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.
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[78]
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 None (ext.) | arXiv
 
[77]
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.
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[76]
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.)
 
[75]
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.
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[74]
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 None (ext.) | arXiv
 
[73]
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 None (ext.) | arXiv
 
[72]
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
 
[71]
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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[70]
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.
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[69]
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.)
 
[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 | DOI | Download Preprint (ext.) | arXiv
 
[67]
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.)
 
[66]
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.)
 
[65]
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
 
[64]
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
 
[63]
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
 
[62]
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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[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: 254
The polynomial sieve and equal sums of like polynomials
T.D. Browning, International Mathematics Research Notices 2015 (2014) 1987–2019.
View | DOI
 
[58]
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
 
[57]
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 Preprint (ext.) | arXiv
 
[56]
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.)
 
[55]
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
 
[54]
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
 
[53]
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.)
 
[52]
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
 
[51]
2013 | Journal Article | IST-REx-ID: 253
Counting rational points on cubic hypersurfaces: Corrigendum
T.D. Browning, Mathematika 60 (2013) 101–107.
View | DOI
 
[50]
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
 
[49]
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
 
[48]
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
 
[47]
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
 
[46]
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.)
 
[45]
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
 
[44]
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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[43]
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.)
 
[42]
2011 | Journal Article | IST-REx-ID: 233
Power-free values of polynomials
T.D. Browning, Archiv Der Mathematik 96 (2011) 139–150.
View | DOI
 
[41]
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
 
[40]
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
 
[39]
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
 
[38]
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
 
[37]
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
 
[36]
2010 | Journal Article | IST-REx-ID: 232 | OA
Le problème des diviseurs pour des formes binaires de degré 4
R. De La Bretèche, T.D. Browning, Journal Fur Die Reine Und Angewandte Mathematik (2010) 1–44.
View | DOI | Download Preprint (ext.) | arXiv
 
[35]
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 Preprint (ext.) | arXiv
 
[34]
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
 
[33]
2009 | Book | IST-REx-ID: 227
Quantitative arithmetic of projective varieties
T.D. Browning, Quantitative Arithmetic of Projective Varieties, Birkhäuser Basel, 2009.
View | DOI
 
[32]
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.)
 
[31]
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.)
 
[30]
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
 
[29]
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 Preprint (ext.) | arXiv
 
[28]
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
 
[27]
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.)
 
[26]
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
 
[25]
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
 
[24]
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
 
[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: 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
 
[21]
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.)
 
[20]
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.)
 
[19]
2007 | Preprint | IST-REx-ID: 6321 | OA
The Manin conjecture in dimension 2
T.D. Browning, ArXiv (n.d.).
View | Download Preprint (ext.) | arXiv
 
[18]
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 Preprint (ext.) | arXiv
 
[17]
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 Preprint (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: 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
 
[14]
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
 
[13]
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
 
[12]
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
 
[11]
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
 
[10]
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.)
 
[9]
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.)
 
[8]
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
 
[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: 205
Counting rational points on cubic and quartic surfaces
T.D. Browning, Acta Arithmetica 108 (2003) 275–295.
View | DOI
 
[5]
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
 
[4]
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
 
[3]
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
 
[2]
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 None (ext.) | arXiv
 
[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
 

Search

Filter Publications

95 Publications

Mark all

[95]
2021 | Journal Article | IST-REx-ID: 8742 | OA
The geometric sieve for quadrics
T.D. Browning, R. Heath-Brown, Forum Mathematicum 33 (2021) 147–165.
View | DOI | Download Preprint (ext.) | arXiv
 
[94]
2021 | Preprint | IST-REx-ID: 9199 | OA
Equidistribution and freeness on Grassmannians
T.D. Browning, T. Horesh, F.A. Wilsch, ArXiv (n.d.).
View | Download Preprint (ext.) | arXiv
 
[93]
2021 | Journal Article | IST-REx-ID: 9260 | OA
Arithmetic of higher-dimensional orbifolds and a mixed Waring problem
T.D. Browning, S. Yamagishi, Mathematische Zeitschrift (2021).
View | Files available | DOI
 
[92]
2020 | Preprint | IST-REx-ID: 8682 | OA
The Hasse principle for random Fano hypersurfaces
T.D. Browning, P.L. Boudec, W. Sawin, ArXiv (n.d.).
View | Files available | Download Preprint (ext.) | arXiv
 
[91]
2020 | Journal Article | IST-REx-ID: 177 | OA
A geometric version of the circle method
T.D. Browning, W. Sawin, Annals of Mathematics 191 (2020) 893–948.
View | DOI | Download Preprint (ext.) | arXiv
 
[90]
2020 | Journal Article | IST-REx-ID: 179 | OA
Density of rational points on a quadric bundle in ℙ3×ℙ3
T.D. Browning, R. Heath Brown, Duke Mathematical Journal 169 (2020) 3099–3165.
View | DOI | Download Preprint (ext.) | arXiv
 
[89]
2020 | Journal Article | IST-REx-ID: 9007 | OA
Free rational points on smooth hypersurfaces
T.D. Browning, W. Sawin, Commentarii Mathematici Helvetici 95 (2020) 635–659.
View | DOI | Download Preprint (ext.) | arXiv
 
[88]
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
 
[87]
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 | DOI | Download Preprint (ext.) | arXiv
 
[86]
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
 
[85]
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
 
[84]
2018 | Journal Article | IST-REx-ID: 176 | OA
Averages of arithmetic functions over principal ideals
T.D. Browning, E. Sofos, International Journal of Nuber Theory 15 (2018) 547–567.
View | DOI | Download Preprint (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 15 (2018) 1–29.
View | DOI | Download Preprint (ext.) | arXiv
 
[82]
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
 
[81]
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.
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[80]
2017 | Journal Article | IST-REx-ID: 267
Many cubic surfaces contain rational points
T.D. Browning, Mathematika 63 (2017) 818–839.
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[79]
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.
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[78]
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.
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[77]
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.
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[76]
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.
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[75]
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.
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[74]
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 None (ext.) | arXiv
 
[73]
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 None (ext.) | arXiv
 
[72]
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.
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[71]
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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[70]
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.
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[69]
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.
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[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]
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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[66]
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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[65]
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.
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[64]
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.
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[63]
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).
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[62]
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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[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.
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[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.
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[59]
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
 
[58]
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
 
[57]
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.
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[56]
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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[55]
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.
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[54]
2013 | Journal Article | IST-REx-ID: 247
The Lang-Weil estimate for cubic hypersurfaces
T.D. Browning, Canadian Mathematical Bulletin 56 (2013) 500–502.
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[53]
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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[52]
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.
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[51]
2013 | Journal Article | IST-REx-ID: 253
Counting rational points on cubic hypersurfaces: Corrigendum
T.D. Browning, Mathematika 60 (2013) 101–107.
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[50]
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.
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[49]
2012 | Journal Article | IST-REx-ID: 238
Inhomogeneous quadratic congruences
S. Baier, T.D. Browning, Functiones et Approximatio, Commentarii Mathematici 47 (2012) 267–286.
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[48]
2012 | Journal Article | IST-REx-ID: 240
Sums of three squareful numbers
T.D. Browning, K.V. Valckenborgh, Experimental Mathematics 21 (2012) 204–211.
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[47]
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
 
[46]
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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[45]
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.
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[44]
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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[43]
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.
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[42]
2011 | Journal Article | IST-REx-ID: 233
Power-free values of polynomials
T.D. Browning, Archiv Der Mathematik 96 (2011) 139–150.
View | DOI
 
[41]
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
 
[40]
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
 
[39]
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
 
[38]
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
 
[37]
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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[36]
2010 | Journal Article | IST-REx-ID: 232 | OA
Le problème des diviseurs pour des formes binaires de degré 4
R. De La Bretèche, T.D. Browning, Journal Fur Die Reine Und Angewandte Mathematik (2010) 1–44.
View | DOI | Download Preprint (ext.) | arXiv
 
[35]
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.
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[34]
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.
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[33]
2009 | Book | IST-REx-ID: 227
Quantitative arithmetic of projective varieties
T.D. Browning, Quantitative Arithmetic of Projective Varieties, Birkhäuser Basel, 2009.
View | DOI
 
[32]
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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[31]
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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[30]
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.
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[29]
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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[28]
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.
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[27]
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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[26]
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.
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[25]
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
 
[24]
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
 
[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: 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
 
[21]
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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[20]
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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[19]
2007 | Preprint | IST-REx-ID: 6321 | OA
The Manin conjecture in dimension 2
T.D. Browning, ArXiv (n.d.).
View | Download Preprint (ext.) | arXiv
 
[18]
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.
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[17]
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 Preprint (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: 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
 
[14]
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
 
[13]
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
 
[12]
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.
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[11]
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
 
[10]
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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[9]
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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[8]
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
 
[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: 205
Counting rational points on cubic and quartic surfaces
T.D. Browning, Acta Arithmetica 108 (2003) 275–295.
View | DOI
 
[5]
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
 
[4]
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
 
[3]
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
 
[2]
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 None (ext.) | arXiv
 
[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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