Browning, Tim; Glas, Jakob; Wang, Victor Y. Sums of three cubes over a function field. arXiv:2402.07146 Preprint, arXiv:2402.07146 [math.NT] (2024). MSC: 11D45 11D25 11G40 11M50 11P55 11T55 BibTeX Cite \textit{T. Browning} et al., ``Sums of three cubes over a function field'', Preprint, arXiv:2402.07146 [math.NT] (2024) Full Text: arXiv OA License
Browning, Tim; Chan, Stephanie Almost all quadratic twists of an elliptic curve have no integral points. arXiv:2401.04375 Preprint, arXiv:2401.04375 [math.NT] (2024). MSC: 11D45 11D25 11G05 BibTeX Cite \textit{T. Browning} and \textit{S. Chan}, ``Almost all quadratic twists of an elliptic curve have no integral points'', Preprint, arXiv:2401.04375 [math.NT] (2024) Full Text: arXiv OA License
Browning, T. D. How often does the Hasse principle hold? (English) Zbl 1451.14074 de Fernex, Tommaso (ed.) et al., Algebraic geometry: Salt Lake City 2015. 2015 summer research institute in algebraic geometry, University of Utah, Salt Lake City, UT, USA, July 13–31, 2015. Proceedings. Part 2. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute. Proc. Symp. Pure Math. 97, 2, 89-102 (2018). MSC: 14G12 14G05 11D25 11G35 14F22 14M22 PDFBibTeX XMLCite \textit{T. D. Browning}, Proc. Symp. Pure Math. 97, 89--102 (2018; Zbl 1451.14074) Full Text: DOI
Browning, T. D. Many cubic surfaces contain rational points. (English) Zbl 1388.14069 Mathematika 63, No. 3, 818-839 (2017). Reviewer: D. R. Heath-Brown (Oxford) MSC: 14G05 14G25 11D25 11G05 11G35 PDFBibTeX XMLCite \textit{T. D. Browning}, Mathematika 63, No. 3, 818--839 (2017; Zbl 1388.14069) Full Text: DOI arXiv
Bright, M. J.; Browning, T. D.; Loughran, D. Failures of weak approximation in families. (English) Zbl 1348.14067 Compos. Math. 152, No. 7, 1435-1475 (2016). Reviewer: D. R. Heath-Brown (Oxford) MSC: 14G05 14G25 14D10 11G35 11D25 PDFBibTeX XMLCite \textit{M. J. Bright} et al., Compos. Math. 152, No. 7, 1435--1475 (2016; Zbl 1348.14067) Full Text: DOI arXiv
Browning, T. D.; Vishe, P. Cubic hypersurfaces and a version of the circle method for number fields. (English) Zbl 1298.11098 Duke Math. J. 163, No. 10, 1825-1883 (2014). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11P55 11D25 11D72 11E76 11R21 14G05 PDFBibTeX XMLCite \textit{T. D. Browning} and \textit{P. Vishe}, Duke Math. J. 163, No. 10, 1825--1883 (2014; Zbl 1298.11098) Full Text: DOI arXiv
de la Bretèche, R.; Browning, T. D. Density of Châtelet surfaces failing the Hasse principle. (English) Zbl 1291.14041 Proc. Lond. Math. Soc. (3) 108, No. 4, 1030-1078 (2014). Reviewer: D. R. Heath-Brown (Oxford) MSC: 14G05 11D25 14J20 11G35 PDFBibTeX XMLCite \textit{R. de la Bretèche} and \textit{T. D. Browning}, Proc. Lond. Math. Soc. (3) 108, No. 4, 1030--1078 (2014; Zbl 1291.14041) Full Text: DOI arXiv
de la Bretèche, R.; Browning, T. D. Binary forms as sums of two squares and Châtelet surfaces. (English) Zbl 1293.11058 Isr. J. Math. 191, Part B, 973-1012 (2012). Reviewer: B. Z. Moroz (Bonn) MSC: 11D25 11D45 14G05 14G25 11G35 14J20 11E25 PDFBibTeX XMLCite \textit{R. de la Bretèche} and \textit{T. D. Browning}, Isr. J. Math. 191, Part B, 973--1012 (2012; Zbl 1293.11058) Full Text: DOI arXiv
de la Bretèche, Régis; Browning, Tim; Peyre, Emmanuel On Manin’s conjecture for a family of Châtelet surfaces. (English) Zbl 1237.11018 Ann. Math. (2) 175, No. 1, 297-343 (2012). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11D45 11D25 11G35 14G05 14J20 PDFBibTeX XMLCite \textit{R. de la Bretèche} et al., Ann. Math. (2) 175, No. 1, 297--343 (2012; Zbl 1237.11018) Full Text: DOI arXiv
Browning, T. D.; Colliot-Thélène, J.-L. Rational points on cubic hypersurfaces that split off a form. (English) Zbl 1198.14021 Compos. Math. 146, No. 4, 853-885 (2010). Reviewer: Roger Heath-Brown (Oxford) MSC: 14G05 11G35 11D45 11D25 11D72 11E76 11P55 14G25 PDFBibTeX XMLCite \textit{T. D. Browning} and \textit{J. L. Colliot-Thélène}, Compos. Math. 146, No. 4, 853--885 (2010; Zbl 1198.14021) Full Text: DOI arXiv
Browning, T. D.; Heath-Brown, D. R. Rational points on quartic hypersurfaces. (English) Zbl 1169.11027 J. Reine Angew. Math. 629, 37-88 (2009). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 11G35 11P55 11D25 11L07 11L15 14G05 14G25 PDFBibTeX XMLCite \textit{T. D. Browning} and \textit{D. R. Heath-Brown}, J. Reine Angew. Math. 629, 37--88 (2009; Zbl 1169.11027) Full Text: DOI arXiv
Browning, T. D. Sums of four biquadrates. (English) Zbl 1055.11023 Math. Proc. Camb. Philos. Soc. 134, No. 3, 385-395 (2003). Reviewer: Koichi Kawada (Morioka) MSC: 11D25 11D45 11G05 11P05 PDFBibTeX XMLCite \textit{T. D. Browning}, Math. Proc. Camb. Philos. Soc. 134, No. 3, 385--395 (2003; Zbl 1055.11023)
Browning, T. D. Counting rational points on cubic and quartic surfaces. (English) Zbl 1027.11046 Acta Arith. 108, No. 3, 275-295 (2003). Reviewer: Roger Heath-Brown (Oxford) MSC: 11G35 14G05 11D45 PDFBibTeX XMLCite \textit{T. D. Browning}, Acta Arith. 108, No. 3, 275--295 (2003; Zbl 1027.11046) Full Text: DOI