Hecke operators on Hilbert-Siegel theta series
Number Theory
2019-09-05 v1
Abstract
We consider the action of Hecke-type operators on Hilbert-Siegel theta series attached to lattices of even rank. We show that average Hilbert-Siegel theta series are eigenforms for these operators, and we explicitly compute the eigenvalues.
Cite
@article{arxiv.1909.01852,
title = {Hecke operators on Hilbert-Siegel theta series},
author = {Dan Fretwell and Lynne Walling},
journal= {arXiv preprint arXiv:1909.01852},
year = {2019}
}