Nonvanishing of L-functions and structure of Mordell-Weil groups.

DOI10.1515/crll.1991.417.1zbMath0731.11030OpenAlexW3153258328MaRDI QIDQ3356367

David E. Rohrlich

Publication date: 1991

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

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002208512

zbMATH Keywords

good reductionelliptic curveL-functioncuspidal automorphic representationMordell-Weil groupstwisted L-function

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Automorphic forms, one variable (11F12) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items

Unitarity and functoriality, Unnamed Item, Stark–Heegner cycles attached to Bianchi modular forms, Exceptional zeros and $\mathcal {L}$-invariants of Bianchi modular forms, Functoriality of automorphic \(L\)-invariants and applications, Triply imprimitive representations of GL(2)