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A Maass space in higher genus

Published online by Cambridge University Press:  10 February 2005

Winfried Kohnen  and
Hisashi Kojima
Winfried Kohnen
Affiliation:
Mathematisches Institut, Universität Heidelberg, Im Neuenheimer Feld 288, D-69120 Heidelberg, Germanywinfried@mathi.uni-heidelberg.de
Hisashi Kojima
Affiliation:
Department of Mathematics, Faculty of Science, Iwate University, Morioka 020, Japanhkojima@rimath.saitama-u.ac.jp Department of Mathematics, Faculty of Science, Saitama University, Urawa 338-8570, Japan
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Abstract

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We show that for arbitrary even genus 2n with $n\equiv {0,1}$ (mod 4) the subspace of Siegel cusp forms of weight $k+n$ generated by the Ikeda lifts of elliptic cusp forms of weight 2k can be characterized by certain simple relations among the Fourier coefficients. These generalize the classical Maass relations in genus 2.

Keywords

Siegel modular formsMaass space11F46
Type
Research Article
Information
Compositio Mathematica , Volume 141 , Issue 2 , March 2005 , pp. 313 - 322
Copyright
Foundation Compositio Mathematica 2005