Congruent numbers

DOI10.1073/pnas.1219394110zbMath1298.11052OpenAlexW2574847154WikidataQ36504247 ScholiaQ36504247MaRDI QIDQ4907499

John H. Coates

Publication date: 2 February 2013

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.1219394110

zbMATH Keywords

elliptic curvescongruent numbersBirch and Swinnerton-Dyer conjecture

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Research exposition (monographs, survey articles) pertaining to number theory (11-02) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (1)

Congruent numbers, quadratic forms and \(K_2\)

Cites Work

• A classical Diophantine problem and modular forms of weight \(3/2\)
• Heegner points and derivatives of \(L\)-series
• Quasi-functions and heights on abelian varieties
• Diophantine analysis and modular forms
• A criterion for elliptic curves with lowest 2-power in L(1)
• A criterion for elliptic curves with lowest 2-power in L(1) (II) This work was supported by NSFC and RFDP.
• Congruent numbers with many prime factors

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