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Selmer groups and Tate-Shafarevich groups for the congruent number problem

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Publication:1001221
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DOI10.4171/CMH/151zbMath1180.11017MaRDI QIDQ1001221

Alexandru Zaharescu, Maosheng Xiong

Publication date: 16 February 2009

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0010-2571&vol=84&iss=1&rank=2

zbMATH Keywords

Tate-Shafarevich groupSelmer groupcongruent number


Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Elliptic curves over global fields (11G05) Estimates on character sums (11L40) Global ground fields in algebraic geometry (14G25)


Related Items

On second 2-descent and non-congruent numbers, On non-congruent numbers with 1 modulo 4 prime factors, Joint distribution for the Selmer ranks of the congruent number curves, Distribution of Selmer groups of quadratic twists of a family of elliptic curves, Hyperbolic Congruent Numbers



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