Modular elements over function fields

DOI10.1006/jnth.1993.1079zbMath0802.11026OpenAlexW2062292279MaRDI QIDQ1310832

Ki-Seng Tan

Publication date: 15 December 1994

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1993.1079

zbMATH Keywords

function fieldsfunctional equationelliptic curves\(L\)-functionsmodular formsspecial valuesmodular elementsBirch-Swinnerton-Dyer conjectureintegralityMazur and Tate's refined conjectures

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) 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)

An explicit basis of modular symbols on function fields ⋮ Refined theorems of the Birch and Swinnerton-Dyer type ⋮ Improper Eisenstein series on Bruhat-Tits trees ⋮ Aspects of Iwasawa theory over function fields ⋮ On Manin-Teitelbaum modular symbols for \(\mathbb F_q(T)\) ⋮ On the vanishing of twisted \(L\)-functions of elliptic curves over rational function fields ⋮ An example of non-cotorsion Selmer group

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