MULTIPLICATIVE PROPERTIES OF THE FOURIER COEFFICIENTS OF SIEGEL MODULAR FORMS FOR PRINCIPAL CONGRUENCE SUBGROUPS OF THE GROUP Sp(n,Z)

DOI10.1070/SM1988V060N01ABEH003165zbMath0657.10023OpenAlexW1973947008MaRDI QIDQ3804779

A. Yu. Nenashev

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1070/sm1988v060n01abeh003165

zbMATH Keywords

principal congruence subgroupsSiegel modular formtheta seriesDirichlet seriesFourier coefficientsHecke operatorsEuler productcongruence conditions

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

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