Vanishing of L-functions of elliptic curves over number fields

DOI10.1017/CBO9780511735158.016zbMath1216.11067arXivmath/0406012OpenAlexW3104283661MaRDI QIDQ3592534

Chantal David, Hershy Kisilevsky, Jack Fearnley

Publication date: 13 September 2007

Published in: Ranks of Elliptic Curves and Random Matrix Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406012

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Relations with random matrices (11M50)

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STARK POINTS AND -ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE ⋮ Rank growth of elliptic curves over 𝑁-th root extensions ⋮ Existential definability and diophantine stability ⋮ Arithmetic Conjectures Suggested by the Statistical Behavior of Modular Symbols ⋮ Arithmetic statistics and Diophantine stability for elliptic curves ⋮ RANK JUMPS AND GROWTH OF SHAFAREVICH–TATE GROUPS FOR ELLIPTIC CURVES IN -EXTENSIONS ⋮ Vanishing of quartic and sextic twists of \(L\)-functions ⋮ Algebraic number theory. Abstracts from the workshop held June 25--30, 2023 ⋮ New points on curves ⋮ A note on the Mordell-Weil rank modulo \(n\) ⋮ On the vanishing of twisted \(L\)-functions of elliptic curves over rational function fields ⋮ Nonvanishing of twists of -functions attached to Hilbert modular forms ⋮ Analytic ranks of elliptic curves over number fields

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