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

Alexandru Ghitza

math.NTarXiv:math/0312394

Abstract

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.

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