Higher regularizations for zeros of cuspidal automorphic L-functions of GL_d
Number Theory
2012-12-07 v3
Abstract
We establish "higher depth" analogues of regularized determinants due to Milnor for zeros of cuspidal automorphic L-functions of GL_d over a general number field. This is a generalization of the result of Deninger about the regularized determinant for zeros of the Riemann zeta function.
Keywords
Cite
@article{arxiv.0909.4925,
title = {Higher regularizations for zeros of cuspidal automorphic L-functions of GL_d},
author = {Masato Wakayama and Yoshinori Yamasaki},
journal= {arXiv preprint arXiv:0909.4925},
year = {2012}
}
Comments
13 pages, 1 figure. The title of the previous versions is "Hecke's zeros and higher depth determinants"