Siegel zeros of Eisenstein series
Number Theory
2007-05-23 v1
Abstract
If E(z,s) is the nonholomorphic Eisenstein series on the upper half plane, then for all y sufficiently large, E(z,s) has a "Siegel zero." That is E(z,\beta)=0 for a real number \beta just to the left of one. We give a generalization of this result to Eisenstein series formed with real valued automorphic forms on a finite central covering of the adele points of a connected reductive algebraic group over a global field.
Cite
@article{arxiv.math/0512092,
title = {Siegel zeros of Eisenstein series},
author = {Joseph Hundley},
journal= {arXiv preprint arXiv:math/0512092},
year = {2007}
}
Comments
14 pages, LaTeX