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Journal of the London Mathematical Society 2006 73(1):31-47; doi:10.1112/S0024610705022398
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© The London Mathematical Society

Estimates of Fourier Coefficients of Siegel Cusp Forms for Subgroups and in the Case of Small Weight

Kathrin Bringmann

Department of Mathematics, Van Vleck Hall, University of Wisconsin Madison, WI 53706, USA bringman{at}math.wisc.edu

Received 20 October 2004.

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.


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