English

Hecke eigenvalues of Siegel modular forms of "different weights"

Number Theory 2013-05-31 v1

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.

Keywords

Cite

@article{arxiv.1305.7011,
  title  = {Hecke eigenvalues of Siegel modular forms of "different weights"},
  author = {Alexandru Ghitza and Robert Sayer},
  journal= {arXiv preprint arXiv:1305.7011},
  year   = {2013}
}

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14 pages