THE ACTION OF MODULAR OPERATORS ON THE FOURIER-JACOBI COEFFICIENTS OF MODULAR FORMS

DOI10.1070/SM1984v047n01ABEH002640zbMath0518.10029OpenAlexW1976049030MaRDI QIDQ3666941

Valery Gritsenko

Publication date: 1984

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1984v047n01abeh002640

zbMATH Keywords

Fourier-Jacobi expansionmultiplicative propertiesSiegel modular formsHecke operatorsfactorization theoremHecke ringseigenvalues of eigenform

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27)

Related Items (12)

Self-dual codes over \({\mathbb{F}}_2[u/\langle u^4 \rangle\) and Jacobi forms over a totally real subfield of \({\mathbb{Q}}(\zeta_8)\)] ⋮ \(L\)-functions for Jacobi forms à la Hecke ⋮ On local Whittaker models for the Jacobi group of degree one ⋮ On automorphic \(L\)-functions for the Jacobi group of degree one and a relation with \(L\)-functions for Jacobi forms ⋮ A certain Dirichlet series attached to Siegel modular forms of degree two ⋮ On the decomposition of Hecke polynomials over parabolic Hecke algebras ⋮ Binary self-dual codes and Jacobi forms over a totally real subfield of \(\mathbb{Q}(\zeta_8)\) ⋮ Fourier-Jacobi expansion and the Ikeda lift ⋮ Jacobi forms of higher degree ⋮ \(L\)-functions for Jacobi forms of arbitrary degree ⋮ A Note on Eigenvalues of Hecke Operators on Siegel Modular Forms of Degree Two ⋮ Theta series and weight enumerator over an imaginary quadratic field

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