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Estimates for fourier coefficients of siegel cusp forms of degree two, II

Published online by Cambridge University Press:  22 January 2016

Winfried Kohnen
Winfried Kohnen*
Affiliation:
Max-Planck-Institut fur Mathematik, Gottfried-Claren-Str., 26 W-5300 Bonn 3, Germany
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Let F be a Siegel cusp form of integral weight k on Γ2: = Sp2(Z) and denote by a(T) (T a positive definite symmetric half-integral (2,2)-matrix) its Fourier coefficients. In [2] Kitaoka proved that

(1)

(the result is actually stated only under the assumption that k is even). In our previous paper [3] it was shown that one can attain

(2)

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 128 , December 1992 , pp. 171 - 176
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1992

References

[1] Iwaniec, H., Fourier coefficients of modular forms of half-integral weight, Invent. Math., 87 (1987), 385–401.Google Scholar
[2] Kitaoka, Y., Fourier coefficients of Siegel cusp forms of degree two, Nagoya Math. J., 93 (1984), 149–171.Google Scholar
[3] Kohnen, W., Estimates for Fourier coefficients of Siegel cusp forms of degree two, to appear in Compos. Math. Google Scholar