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Cube sum problem and an explicit Gross-Zagier formula

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Publication:3133102
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DOI10.1353/ajm.2017.0021zbMath1434.11114arXiv1412.1950OpenAlexW2963332390MaRDI QIDQ3133102

Jie Shu, Li Cai, Ye Tian

Publication date: 12 February 2018

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.1950


zbMATH Keywords

Heegner pointsGross-Zagier formulaMordel-Weil group


Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)


Related Items (9)

Sylvester’s problem and mock Heegner points ⋮ Cube sums of the forms \(3p\) and \(3p^2\) ⋮ The congruent number problem and elliptic curves ⋮ Cube sum problem for integers having exactly two distinct prime factors ⋮ Cube sums of the forms \(3p\) and \(3p^2\). II ⋮ A classical family of elliptic curves having rank one and the \(2\)-primary part of their Tate-Shafarevich group non-trivial ⋮ Tamagawa number divisibility of central \(L\)-values of twists of the Fermat elliptic curve ⋮ An explicit Gross–Zagier formula related to the Sylvester conjecture ⋮ On the $8$ case of the Sylvester conjecture







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