Explicitly realizing average Siegel theta series as linear combinations of Eisenstein series
Number Theory
2017-02-22 v1
Abstract
We find nice representatives for the 0-dimensional cusps of the degree Siegel upper half-space under the action of . To each of these we attach a Siegel Eisenstein series, and then we make explicit a result of Siegel, realizing any integral weight average Siegel theta series of arbitrary level and Dirichlet character modulo as a linear combination of Siegel Eisenstein series.
Keywords
Cite
@article{arxiv.1702.06494,
title = {Explicitly realizing average Siegel theta series as linear combinations of Eisenstein series},
author = {Lynne H. Walling},
journal= {arXiv preprint arXiv:1702.06494},
year = {2017}
}