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Fourier coefficients of Siegel cusp forms of degree two

Published online by Cambridge University Press:  22 January 2016

Yoshiyuki Kitaoka
Yoshiyuki Kitaoka*
Affiliation:
Department of Mathematics, Faculty of Sciences Nagoya University, Chikusa-ku, Nagoya 464, Japan
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Our purpose is to prove the following

Theorem. Let k be an even integer ≥ 6. Let

be a Siegel cusp form of degree two, weight k. Then we have

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 93 , March 1984 , pp. 149 - 171
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1984

References

[ 1 ] Christian, U., Über Hilbert-Siegelsche Modulformen und Poincarésche Reihen, Math. Ann., 148 (1962), 257–307.Google Scholar
[ 2 ] Herz, C. S., Bessel functions of matrix argument, Ann. of Math., 61 (1955), 474–523.CrossRefGoogle Scholar
[ 3 ] Kitaoka, Y., Fourier coefficients of Siegel cusp forms of degree two, Proc. Japan Acad., 58A (1982), 41–43.Google Scholar
[ 4 ] Maass, H., Über die Darstellung der Modulformen w-ten Grades durch Poincarésche Reihen, Math. Ann., 123 (1951), 125–151.Google Scholar