Action of Hecke operators on Siegel theta series II
Number Theory
2007-10-24 v1
Abstract
Given a Siegel theta series and a prime p not dividing the level of the theta series, we apply to the theta series the n+1 Hecke operators that generate the local Hecke algebra at p. We show that the average theta series is an eigenform and we compute the eigenvalues.
Keywords
Cite
@article{arxiv.0710.4222,
title = {Action of Hecke operators on Siegel theta series II},
author = {Lynne H. Walling},
journal= {arXiv preprint arXiv:0710.4222},
year = {2007}
}