An Explicit Vinogradov–Korobov Zero-Free Region for Dirichlet L-Functions (2024)

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Tanmay Khale

Department of Mathematics, University of Illinois

, Urbana, IL 61801,

USA

†Corresponding author. E-mail: tnkhale2@illinois.edu

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The Quarterly Journal of Mathematics, Volume 75, Issue 1, March 2024, Pages 299–332, https://doi.org/10.1093/qmath/haae010

Published:

18 March 2024

Article history

Received:

13 June 2023

Revision received:

21 November 2023

Editorial decision:

16 February 2024

Accepted:

19 February 2024

Published:

18 March 2024

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Abstract

We establish the first explicit form of the Vinogradov–Korobov zero-free region for Dirichlet L-functions.

© The Author(s) 2024. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oup.com

This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/pages/standard-publication-reuse-rights)

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