Estimating Hecke eigenvalues of Siegel modular forms

DOI10.1215/S0012-7094-92-06708-1zbMath0766.11026OpenAlexW2078022128MaRDI QIDQ1196405

Jian-Shu Li, William Duke, Roger E. Howe

Publication date: 14 December 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-92-06708-1

zbMATH Keywords

Siegel modular formsautomorphic representationSiegel cusp formseigenvalues of Hecke operators

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items

Cuspidality and the growth of Fourier coefficients of modular forms: a survey, Eisenstein series and zeta functions on symplectic groups, On the mean square of standard \(L\)-functions attached to Ikeda lifts, Cuspidality and the growth of Fourier coefficients of modular forms, On the dimensions of spaces of Siegel modular forms of weight one, Convergence of zeta functions on symplectic and metaplectic groups, Decay of eigenfunctions on semisimple symmetric spaces, On the standard \(L\)-function attached to quaternionic modular forms, Fourier coefficients and Hecke eigenvalues, On bounding Hecke--Siegel eigenvalues, On the convergence of spinor zeta functions attached to Hecke eigenforms on \(Sp_ 4(\mathbb{Z} )\), Some consequences of Arthur's conjectures for special orthogonal even groups, On the Rankin–Selberg method for vector-valued Siegel modular forms, Rank and duality in representation theory, Uniform pointwise bounds for matrix coefficients of unitary representations and applications to Kazhdan constants

Cites Work

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