Vanishing and non-vanishing Dirichlet twists of L -functions of elliptic curves

DOI10.1112/jlms/jds018zbMath1267.11070arXiv0711.1771OpenAlexW3099442654MaRDI QIDQ3165361

Jack Fearnley, Hershy Kisilevsky, Masato Kuwata

Publication date: 26 October 2012

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.1771

zbMATH Keywords

Dirichlet twists of \(L\)-functionsElliptic curves over number fields

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) (K3) surfaces and Enriques surfaces (14J28) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Global ground fields in algebraic geometry (14G25)

Related Items (8)

Rank gain of Jacobian varieties over finite Galois extensions ⋮ Rank growth of elliptic curves over 𝑁-th root extensions ⋮ Arithmetic Conjectures Suggested by the Statistical Behavior of Modular Symbols ⋮ The equivariant Tamagawa number conjecture and modular symbols ⋮ Torsion of elliptic curves over cyclic cubic fields ⋮ Mean values with cubic characters ⋮ Families of elliptic curves over cyclic cubic number fields with prescribed torsion ⋮ On the vanishing of twisted \(L\)-functions of elliptic curves over rational function fields

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