Spectral means of central values of automorphic 𝐿-functions for 𝐺𝐿(2)

DOI10.1090/memo/1110zbMath1337.11034OpenAlexW1993137688MaRDI QIDQ5248115

Masao Tsuzuki

Publication date: 27 April 2015

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

Full work available at URL: https://doi.org/10.1090/memo/1110

zbMATH Keywords

congruence subgrouphyperbolic LaplacianHecke eigenvalue\(L\)-series

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (7)

Hecke-Maass cusp forms on \(\operatorname{PGL}_n\) of large levels with non-vanishing \(L\)-values ⋮ Relative trace formulas for unitary hyperbolic spaces ⋮ A quantum probabilistic approach to Hecke algebras for 𝔭-adic PGL2 ⋮ Regularized periods of automorphic forms on \(\mathrm{GL}(2)\) ⋮ Weighted Distribution of Low-lying Zeros of GL(2) -functions ⋮ An explicit trace formula of Jacquet-Zagier type for Hilbert modular forms ⋮ Non-vanishing of Miyawaki type lifts

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