The Weak Gram Law for Hecke $L$-functions
Number Theory
2022-01-25 v1
Abstract
We generalize a theorem by Titchmarsh about the mean value of Hardy's -function at the Gram points to the Hecke -functions, which in turn implies the weak Gram law for them. Instead of proceeding analogously to Titchmarsh with an approximate functional equation we employ a different method using contour integration.
Keywords
Cite
@article{arxiv.2201.08898,
title = {The Weak Gram Law for Hecke $L$-functions},
author = {Sebastian Weishäupl},
journal= {arXiv preprint arXiv:2201.08898},
year = {2022}
}
Comments
12 pages