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

Part of: Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  27 May 2014

Yoshinori Mizuno
Yoshinori Mizuno*
Affiliation:
Faculty and School of Engineering, The University of Tokushima, 2-1, Minami-josanjima-cho, Tokushima, 770-8506, Japan email [email protected]
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Abstract

We give a new proof of a recent result of Kohnen–Martin on a characterization of degree 2 Siegel cusp forms by the growth of their Fourier coefficients. Our main tools are Koecher–Maass series, Imai’s converse theorem and the theory of singular modular forms.

MSC classification

Primary: 11F30: Fourier coefficients of automorphic forms
Secondary: 11F46: Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms
Type
Research Article
Information
Mathematika , Volume 61 , Issue 1 , January 2015 , pp. 89 - 100
Copyright
Copyright © University College London 2014 

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