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arXiv · 2410.06082

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

Kübra Benli·Shivani Goel·Henry Twiss·Asif Zaman
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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.

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Kübra Benli, Shivani Goel, Henry Twiss, Asif Zaman. 2024-10-08. Explicit Deuring-Heilbronn phenomenon for Dirichlet $L$-functions. https://doi.org/10.1090/proc%2F17450

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