Explicit Deuring-Heilbronn phenomenon for Dirichlet \(L\)-functions

Explicit Deuring-Heilbronn phenomenon for Dirichlet \(L\)-functions

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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Veröffentlicht in:arXiv.org 2024-10
Hauptverfasser: Kübra Benl\ i, Goel, Shivani, Twiss, Henry, Zaman, Asif
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422