Asymptotic behaviors of means of central values of automorphic \(L\)-functions for \(\mathrm{GL}(2)\)

DOI10.1016/j.jnt.2015.04.003zbMath1395.11080arXiv1312.2732OpenAlexW969567810MaRDI QIDQ2352016

Shingo Sugiyama

Publication date: 29 June 2015

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

Full work available at URL: https://arxiv.org/abs/1312.2732

zbMATH Keywords

automorphic representationsrelative trace formulas

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (5)

Hecke-Maass cusp forms on \(\operatorname{PGL}_n\) of large levels with non-vanishing \(L\)-values ⋮ A quantum probabilistic approach to Hecke algebras for 𝔭-adic PGL2 ⋮ Weighted Distribution of Low-lying Zeros of GL(2) -functions ⋮ An explicit trace formula of Jacquet-Zagier type for Hilbert modular forms ⋮ Relative trace formulas and subconvexity estimates for $L$-functions of Hilbert modular forms

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