Hecke eigenvalues of Siegel modular forms of "different weights"

2013/05/30 by Ghitza, Alexandru, Sayer, Robert
#11F46 #11F60 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1305.7011

Abstract

Given two Siegel eigenforms of different weights, we determine explicit sets of Hecke eigenvalues for the two forms that must be distinct. In degree two, and under some additional conditions, we determine explicit sets of Fourier coefficients of the two forms that must be distinct.

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