Elsevier

Journal of Number Theory

Volume 143, October 2014, Pages 125-141
Journal of Number Theory

Hecke eigenvalues of Siegel modular forms of “different weights”

https://doi.org/10.1016/j.jnt.2014.03.009Get rights and content
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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 2, and under some additional conditions, we determine explicit sets of Fourier coefficients of the two forms that must be distinct.

Keywords

Siegel modular forms
Hecke operators
Fourier coefficients

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