Remarks on Landau-Siegel zeros
Number Theory
2025-12-09 v2
Abstract
For certain families of -functions, we prove that if each -function in the family has only real zeros in a fixed yet arbitrarily small neighborhood of , then one may considerably improve upon the known results on Landau-Siegel zeros. Sarnak and the third author proved a similar result under much more restrictive hypotheses.
Cite
@article{arxiv.2404.16003,
title = {Remarks on Landau-Siegel zeros},
author = {Debmalya Basak and Jesse Thorner and Alexandru Zaharescu},
journal= {arXiv preprint arXiv:2404.16003},
year = {2025}
}
Comments
7 pages. Referee comments incorporated