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

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

2003-12-22

arxiv.org/abs/math/0312394v3

International Mathematics Research Notices, vol 2004 (2004), issue 55, pp. 2983-2987

Mathematics

Number Theory

4 pages, amsart class; included reference to current work of G. Herrick; fixed a small error in the estimate of Corollary 2

Scientific paper

10.1155/S1073792804140269

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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