Kuznietsov trace formula and weighted distribution of Hecke eigenvalues.

DOI10.1016/S0022-314X(03)00149-5zbMath1039.11025OpenAlexW2021988465MaRDI QIDQ1421309

Charles C. C. Li

Publication date: 26 January 2004

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

Full work available at URL: https://doi.org/10.1016/s0022-314x(03)00149-5

zbMATH Keywords

trace formulaHecke operatorSato-Tate measuremodular cusp form

Mathematics Subject Classification ID

Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (4)

Weighted Distribution of Low-lying Zeros of GL(2) -functions ⋮ Weighted Sato-Tate vertical distribution of the Satake parameter of Maass forms on \(\mathrm{PGL}(N)\) ⋮ Weighted averages of modular 𝐿-values ⋮ Kuznetsov’s trace formula and the Hecke eigenvalues of Maass forms

Cites Work

• Automorphic Forms on Adele Groups. (AM-83)
• Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝
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