Explicit Deuring-Heilbronn phenomenon for Dirichlet LL-functions

preprint2026arXivOpen access

Abstract

Assuming the existence of a Landau-Siegel zero, we establish an explicit Deuring-Heilbronn zero repulsion phenomenon for Dirichlet LL-functions modulo qq. 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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