Cusp Forms of Weight 2 for the Group Γ 2 (4, 8)

DOI10.2307/2374865zbMath0780.11024OpenAlexW1972187720MaRDI QIDQ4693425

Riccardo Salvati Manni, Jaap Top

Publication date: 10 February 1994

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374865

zbMATH Keywords

Hecke operatorstheta constantsAndrianov \(L\)-functioncongruence subgroups of \(\text{Sp}_ 4(\mathbb Z)\)cusp forms of weight 2

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (11)

Theta functions and Siegel-Jacobi forms ⋮ Action of Hecke operators on theta-functions with rational characteristics ⋮ \(L\)-functions of \(S_{3}(\Gamma (4,8))\) ⋮ The Scorza correspondence in genus 3 ⋮ On a ring of modular forms related to the theta gradients map in genus \(2\) ⋮ Paramodular abelian varieties of odd conductor ⋮ On invariant subspaces and eigenfunctions of regular Hecke operators on spaces of multiple theta constants ⋮ Action of Hecke operators on Maass theta series and zeta functions ⋮ AN EQUIDISTRIBUTION THEOREM FOR HOLOMORPHIC SIEGEL MODULAR FORMS FOR AND ITS APPLICATIONS ⋮ An explicit computation of \(p\)-stabilized vectors ⋮ The weight reduction of mod \(p\) Siegel modular forms for \(GSp_4\) and theta operators

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