A BASIS OF EIGENFUNCTIONS OF HECKE OPERATORS IN THE THEORY OF MODULAR FORMS OF GENUS $ n$

DOI10.1070/SM1982v043n03ABEH002450zbMath0492.10023OpenAlexW2004093367MaRDI QIDQ3953844

Sergei Evdokimov

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1070/sm1982v043n03abeh002450

zbMATH Keywords

congruence subgroupspace of Siegel modular formsspaces generated by theta seriesbasis of eigenfunctions of Hecke operators

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (4)

Cuspidality and the growth of Fourier coefficients of modular forms: a survey ⋮ Cuspidality and the growth of Fourier coefficients of modular forms ⋮ Modular forms of degree n and representation by quadratic forms V ⋮ Characterization of Siegel cusp forms by the growth of their Fourier coefficients

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