Linear Independence of Hecke Operators in the Homology of X 0 (N )

DOI10.1112/S0024610799008637zbMath0963.11023OpenAlexW2070932233MaRDI QIDQ4520389

Jeffrey M. Vanderkam

Publication date: 13 December 2000

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

Full work available at URL: https://doi.org/10.1112/s0024610799008637

zbMATH Keywords

rational pointsboundsrationalityHecke operatorssymmetric powersmodular curvetorsion points of elliptic curvesminimal levels

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Arithmetic aspects of modular and Shimura varieties (11G18) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (6)

An explicit basis of modular symbols on function fields ⋮ Families of \(L\)-functions of automorphic forms and applications ⋮ Non-vanishing of \(L\)-functions of Hilbert modular forms at the central point ⋮ TWISTS OF AUTOMORPHIC L-FUNCTIONS AT THE CENTRAL POINT ⋮ On Manin-Teitelbaum modular symbols for \(\mathbb F_q(T)\) ⋮ Rankin-Selberg \(L\)-functions in the level aspect.

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