Analytic ranks of elliptic curves over cyclotomic fields

DOI10.1515/crll.2002.021zbMath1028.11040OpenAlexW2011576987MaRDI QIDQ2781425

Gautam Chinta

Publication date: 20 March 2002

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2002.021

zbMATH Keywords

elliptic curvesmodular formsanalytic rankCyclotomic fields

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (7)

Simultaneous nonvanishing of Dirichlet $L$-functions and twists of Hecke-Maass L-functions ⋮ The distribution of values of zeta and \(L\)-functions ⋮ A note on the growth of Mordell-Weil ranks of elliptic curves in cyclotomic \(\mathbb Z_p\)-extensions ⋮ Effective moments of Dirichlet \(L\)-functions in Galois orbits ⋮ Central values of additive twists of cuspidal \(L\)-functions ⋮ The second moment of twisted modular \(L\)-functions ⋮ The Second Moment Theory of Families of 𝐿-Functions–The Case of Twisted Hecke 𝐿-Functions

Cites Work

• Modular elliptic curves and Fermat's Last Theorem
• Ring-theoretic properties of certain Hecke algebras

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