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ESTIMATES OF FOURIER COEFFICIENTS OF SIEGEL CUSP FORMS FOR SUBGROUPS AND IN THE CASE OF SMALL WEIGHT

Published online by Cambridge University Press:  22 February 2006

KATHRIN BRINGMANN
KATHRIN BRINGMANN
Affiliation:
Department of Mathematics, Van Vleck Hall, University of Wisconsin, Madison, WI 53706, USAbringman@math.wisc.edu
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Abstract

Here we develop estimates for Fourier coefficients of Siegel cusp forms. First we consider the case of Siegel modular forms for the full modular group $\Gamma_g$ having small weight (that is, weight k = g + 1). Afterwards the case of a certain subgroup $\Gamma_{g,0}(N)$ of $\Gamma_g$ is considered.

Keywords

11F50
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 73 , Issue 1 , February 2006 , pp. 31 - 47
Copyright
The London Mathematical Society 2006

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