Heath-Brown, D. R. Rational points on the intersection of three quadrics. (English) Zbl 1373.14023 Int. J. Number Theory 13, No. 2, 273-289 (2017). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14G05 11D25 14G20 14J20 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Int. J. Number Theory 13, No. 2, 273--289 (2017; Zbl 1373.14023) Full Text: DOI arXiv
Heath-Brown, D. R. Artin’s conjecture on zeros of \(p\)-adic forms. (English) Zbl 1243.11051 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. II: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-32-8/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 249-257 (2011). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11D88 11D72 11E08 11E76 11E95 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. II: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 249--257 (2011; Zbl 1243.11051) Full Text: arXiv Link
Heath-Brown, Roger; Testa, Damiano [Heath-Brown, D. R.] Counting rational points on cubic curves. (English) Zbl 1229.11052 Sci. China, Math. 53, No. 9, 2259-2268 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11D25 11D45 11G05 PDFBibTeX XMLCite \textit{R. Heath-Brown} and \textit{D. Testa}, Sci. China, Math. 53, No. 9, 2259--2268 (2010; Zbl 1229.11052) 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
Heath-Brown, D. R. Cubic forms in 14 variables. (English) Zbl 1135.11031 Invent. Math. 170, No. 1, 199-230 (2007). Reviewer: B. Z. Moroz (Bonn) MSC: 11G35 11D25 11E72 11E76 11P55 14G25 11L15 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Invent. Math. 170, No. 1, 199--230 (2007; Zbl 1135.11031) Full Text: DOI
Heath-Brown, Roger Rational points and analytic number theory. (English) Zbl 1197.11069 Poonen, Bjorn (ed.) et al., Arithmetic of higher-dimensional algebraic varieties. Proceedings of the workshop on rational and integral points of higher-dimensional varieties, Palo Alto, CA, USA, December 11–20, 2002. Boston, MA: Birkhäuser (ISBN 0-8176-3259-X/hbk). Progress in Mathematics 226, 37-42 (2004). Reviewer: Olaf Ninnemann (Berlin) MSC: 11G35 11P55 11D25 11D45 14G05 PDFBibTeX XMLCite \textit{R. Heath-Brown}, Prog. Math. 226, 37--42 (2004; Zbl 1197.11069)
Heath-Brown, D. R. The solubility of diagonal cubic Diophantine equations. (English) Zbl 1029.11010 Proc. Lond. Math. Soc., III. Ser. 79, No. 2, 241-259 (1999). Reviewer: Roger Heath-Brown (Oxford) MSC: 11D25 11G05 14G05 11G35 11G40 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Proc. Lond. Math. Soc. (3) 79, No. 2, 241--259 (1999; Zbl 1029.11010) Full Text: DOI
Heath-Brown, D. R. The density of rational points on cubic surfaces. (English) Zbl 0863.11021 Acta Arith. 79, No. 1, 17-30 (1997). Reviewer: D.R.Heath-Brown (Oxford / England) MSC: 11D25 11G35 11E76 11E20 PDFBibTeX XML Full Text: DOI EuDML
Heath-Brown, D. R. The size of Selmer groups for the congruent number problem. (English) Zbl 0808.11041 Invent. Math. 111, No. 1, 171-195 (1993). Reviewer: A.Pacheco (Rio de Janeiro) MSC: 11G05 14H25 11G40 11D25 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Invent. Math. 111, No. 1, 171--195 (1993; Zbl 0808.11041) Full Text: DOI EuDML