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Explicit Deuring-Heilbronn phenomenon for Dirichlet $L$-functions
- 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
- Subjects :
- Mathematics - Number Theory
11M06, 11M20, 11N36
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2410.06082
- Document Type :
- Working Paper