Explicit action of Hecke operators on Siegel modular forms.

DOI10.1006/jnth.2001.2711zbMath1044.11034OpenAlexW2016894483MaRDI QIDQ1599571

James Lee Hafner, Lynne H. Walling

Publication date: 11 June 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1839b7188468edc9305509d3e2bbb36daee89ba2

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items

LIFTING PUZZLES IN DEGREE FOUR, Some relations on Fourier coefficients of degree 2 Siegel forms of arbitrary level, A formula for the action of Hecke operators on half-integral weight Siegel modular forms and applications, Hecke operators on half-integral weight Siegel Eisenstein series, Hecke eigenvalues and relations for Siegel Eisenstein series of arbitrary degree, level, and character, Double coset operators and eta-quotients, Hecke eigenvalues and relations for degree 2 Siegel Eisenstein series, HECKE OPERATORS ON HILBERT–SIEGEL MODULAR FORMS, Fourier coefficients of degree two Siegel-Eisenstein series with trivial character at squarefree level, Congruence of Siegel modular forms and special values of their standard zeta functions, On bounding Hecke--Siegel eigenvalues, Hecke eigenvalues of Siegel modular forms of ``different weights, ACTION OF HECKE OPERATORS ON SIEGEL THETA SERIES, II, Restricting Hecke-Siegel operators to Jacobi modular forms, ACTION OF HECKE OPERATORS ON SIEGEL THETA SERIES I, Representations by quadratic forms and the Eichler Commutation Relation

Cites Work

• Die Primzahlen in der Theorie der Siegelschen Modulfunktionen. (The prime numbers in the theory of Siegel's modular functions)
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