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

Published 8 Oct 2024 in math.NT | (2410.06082v2)

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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