Hecke eigenvalues and relations for Siegel Eisenstein series of arbitrary degree, level, and character
Number Theory
2016-08-03 v2
Abstract
We evaluate the action of Hecke operators on Siegel Eisenstein series of arbitrary degree, level and character. For square-free level, we simultaneously diagonalise the space with respect to all the Hecke operators, computing the eigenvalues explicitly, and obtain a multiplicity-one result. For arbitrary level, we simultaneously diagonalise the space with respect to the Hecke operators attached to primes not dividing the level, again computing the eigenvalues explicitly.
Keywords
Cite
@article{arxiv.1412.4588,
title = {Hecke eigenvalues and relations for Siegel Eisenstein series of arbitrary degree, level, and character},
author = {Lynne H. Walling},
journal= {arXiv preprint arXiv:1412.4588},
year = {2016}
}
Comments
to appear, Internat. J. Number Theory