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

Published online by Cambridge University Press:  27 May 2014

Yoshinori Mizuno*
Affiliation:
Faculty and School of Engineering, The University of Tokushima, 2-1, Minami-josanjima-cho, Tokushima, 770-8506, Japan email mizuno@pm.tokushima-u.ac.jp
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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.

Type
Research Article
Copyright
Copyright © University College London 2014 

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