ON CHARACTERIZATION OF SIEGEL CUSP FORMS OF DEGREE 2 BY THE HECKE BOUND

DOI10.1112/S002557931400014XzbMath1372.11059MaRDI QIDQ5179254

Yoshinori Mizuno

Publication date: 19 March 2015

Published in: Mathematika (Search for Journal in Brave)

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30)

Related Items (7)

Cuspidality and the growth of Fourier coefficients of modular forms: a survey ⋮ Cuspidality and the growth of Fourier coefficients: small weights ⋮ Cuspidality and the growth of Fourier coefficients of modular forms ⋮ ON THE FOURIER COEFFICIENTS OF SIEGEL MODULAR FORMS ⋮ Characterization of Siegel cusp forms by the growth of their Fourier coefficients ⋮ RANKIN–SELBERG CONVOLUTIONS OF NONCUSPIDAL HALF-INTEGRAL WEIGHT MAASS FORMS IN THE PLUS SPACE ⋮ Koecher-Maass series associated to Hermitian modular forms of degree 2 and a characterization of cusp forms by the Hecke bound

Cites Work

• On the Phragmén-Lindelöf theorem and some applications
• Modular forms on half-spaces of quaternions
• On Saito-Kurokawa descent for congruence subgroups
• Characterization of Siegel cusp forms by the growth of their Fourier coefficients
• Saito-Kurokawa liftings of level \(N\) and practical construction of Jacobi forms
• Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
• Generalization of Hecke's Correspondence to Siegel Modular Forms
• Two theorems on the class number of positive definite quadratic forms
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