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Explicit Deuring-Heilbronn phenomenon for Dirichlet $L$-functions

Authors :
Benli, Kübra
Goel, Shivani
Twiss, Henry
Zaman, Asif
Publication Year :
2024

Abstract

Assuming the existence of a Landau-Siegel zero, we establish an explicit Deuring-Heilbronn zero repulsion phenomenon for Dirichlet $L$-functions modulo $q$. Our estimate is uniform in the entire critical strip, and improves over the previous best known explicit estimate due to Thorner and Zaman.<br />Comment: Minor correction to constant $c_4$ in main results

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2410.06082
Document Type :
Working Paper