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arXiv:math/0312394 [math.NT]AbstractReferencesReviewsResources

Upper bound on the number of systems of Hecke eigenvalues for Siegel modular forms (mod p)

Alexandru Ghitza

Published 2003-12-22, updated 2006-05-23Version 3

We derive an explicit upper bound for the number of systems of Hecke eigenvalues coming from Siegel modular forms (mod p) of dimension g and level N relatively prime to p. In the special case of elliptic modular forms (g=1), our result agrees with recent work of G. Herrick.

Comments: 4 pages, amsart class; included reference to current work of G. Herrick; fixed a small error in the estimate of Corollary 2
Journal: International Mathematics Research Notices, vol 2004 (2004), issue 55, pp. 2983-2987
Categories: math.NT
Subjects: 11F46
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