Explicit Deuring-Heilbronn phenomenon for Dirichlet $L$-functions
Number Theory
2026-01-12 v3
Abstract
Assuming the existence of a Landau-Siegel zero, we establish an explicit Deuring-Heilbronn zero repulsion phenomenon for Dirichlet -functions modulo . Our estimate is uniform in the entire critical strip, and improves over the previous best known explicit estimate due to Thorner and Zaman.
Keywords
Cite
@article{arxiv.2410.06082,
title = {Explicit Deuring-Heilbronn phenomenon for Dirichlet $L$-functions},
author = {Kübra Benli and Shivani Goel and Henry Twiss and Asif Zaman},
journal= {arXiv preprint arXiv:2410.06082},
year = {2026}
}