Alpöge, Levent; Bhargava, Manjul; Shnidman, Ari Integers expressible as the sum of two rational cubes. arXiv:2210.10730 Preprint, arXiv:2210.10730 [math.NT] (2022). MSC: 11G05 14G05 11D25 BibTeX Cite \textit{L. Alpöge} et al., ``Integers expressible as the sum of two rational cubes'', Preprint, arXiv:2210.10730 [math.NT] (2022) Full Text: arXiv OA License
Alpöge, Levent; Bhargava, Manjul; Shnidman, Ari A positive proportion of cubic fields are not monogenic yet have no local obstruction to being so. arXiv:2011.01186 Preprint, arXiv:2011.01186 [math.NT] (2020). MSC: 11R16 11R45 11G05 BibTeX Cite \textit{L. Alpöge} et al., ``A positive proportion of cubic fields are not monogenic yet have no local obstruction to being so'', Preprint, arXiv:2011.01186 [math.NT] (2020) Full Text: arXiv OA License
Bhargava, Manjul; Shankar, Arul Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves. (English) Zbl 1307.11071 Ann. Math. (2) 181, No. 1, 191-242 (2015). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11G05 11E76 11P21 PDFBibTeX XMLCite \textit{M. Bhargava} and \textit{A. Shankar}, Ann. Math. (2) 181, No. 1, 191--242 (2015; Zbl 1307.11071) Full Text: DOI arXiv
Bhargava, Manjul; Shnidman, Ariel On the number of cubic orders of bounded discriminant having automorphism group \(C_3\), and related problems. (English) Zbl 1298.11102 Algebra Number Theory 8, No. 1, 53-88 (2014). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R16 11R29 11R45 PDFBibTeX XMLCite \textit{M. Bhargava} and \textit{A. Shnidman}, Algebra Number Theory 8, No. 1, 53--88 (2014; Zbl 1298.11102) Full Text: DOI arXiv
Bhargava, Manjul Higher composition laws and applications. (English) Zbl 1129.11049 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 271-294 (2006). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R29 11R45 11R16 11E12 11E20 11E76 PDFBibTeX XMLCite \textit{M. Bhargava}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS). 271--294 (2006; Zbl 1129.11049)
Bhargava, Manjul The density of discriminants of quartic rings and fields. (English) Zbl 1159.11045 Ann. Math. (2) 162, No. 2, 1031-1063 (2005). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R45 11R16 11R29 PDFBibTeX XMLCite \textit{M. Bhargava}, Ann. Math. (2) 162, No. 2, 1031--1063 (2005; Zbl 1159.11045) Full Text: DOI Euclid
Bhargava, Manjul Higher composition laws. III: The parametrization of quartic rings. (English) Zbl 1169.11045 Ann. Math. (2) 159, No. 3, 1329-1360 (2004). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R11 11R29 11R16 11E12 11E20 PDFBibTeX XMLCite \textit{M. Bhargava}, Ann. Math. (2) 159, No. 3, 1329--1360 (2004; Zbl 1169.11045) Full Text: DOI