AN EQUIDISTRIBUTION THEOREM FOR HOLOMORPHIC SIEGEL MODULAR FORMS FOR AND ITS APPLICATIONS

DOI10.1017/S147474801800004XzbMath1470.11108arXiv1604.02036OpenAlexW2792736802MaRDI QIDQ5221317

Takuya Yamauchi, Satoshi Wakatsuki, Henry H. Kim

Publication date: 25 March 2020

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02036

zbMATH Keywords

trace formulaSiegel modular formsHecke operators

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Density theorems (11R45) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (5)

Weighted one-level density of low-lying zeros of Dirichlet \(L\)-functions ⋮ On the distribution of Satake parameters for Siegel modular forms ⋮ Equidistribution theorems for holomorphic Siegel modular forms for \(\mathrm{GSp}_4\); Hecke fields and \(n\)-level density ⋮ Large Hecke eigenvalues and an omega result for non-Saito-Kurokawa lifts ⋮ Sato-Tate equidistribution for families of automorphic representations through the stable trace formula

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