Fourier coefficients of Siegel–Eisenstein series of odd genus

We give a new expression of the T-th Fourier coefficients of the Siegel–Eisenstein series of odd genus. Unlike even genus case, only modified divisor sums and no generalized class numbers enter into our formula.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2011-02, Vol.374 (1), p.1-7
Main Authors: Choie, YoungJu, Kohnen, Winfried
Format: Article
Language:English
Subjects:
Algebra
Exact sciences and technology
Fourier analysis
Fourier expansion
Genus
Mathematical analysis
Mathematics
Number theory
Sciences and techniques of general use
Siegel–Eisenstein series
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Description
Summary:We give a new expression of the T-th Fourier coefficients of the Siegel–Eisenstein series of odd genus. Unlike even genus case, only modified divisor sums and no generalized class numbers enter into our formula.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2010.09.019