On an explicit zero-free region for the Dedekind zeta-function

DOI10.1016/j.jnt.2020.12.015zbMath1470.11296arXiv2002.05456OpenAlexW3005760223MaRDI QIDQ2663309

Ethan Simpson Lee

Publication date: 16 April 2021

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.05456

zbMATH Keywords

Chebotarev density theoremDedekind zeta-functionexplicit zero-free regionzeros of the Dedekind zeta-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Zeta functions and (L)-functions of number fields (11R42) Primes in congruence classes (11N13) Distribution of prime ideals (11R44) Arithmetic progressions (11B25)

Related Items (4)

Primes in the Chebotarev density theorem for all number fields (with an appendix by Andrew Fiori) ⋮ Explicit interval estimates for prime numbers ⋮ On the number of integral ideals in a number field ⋮ An approximate form of Artin's holomorphy conjecture and non-vanishing of Artin \(L\)-functions

Cites Work

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• Explicit zero-free regions for Dirichlet L-functions
• Some effective cases of the Brauer-Siegel theorem
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• An explicit upper bound for the least prime ideal in the Chebotarev density theorem
• Nonnegative trigonometric polynomials and a zero-free region for the Riemann zeta-function
• EXPLICIT ZERO-FREE REGIONS FOR DEDEKIND ZETA FUNCTIONS
• Zero-free regions for the Riemann zeta function
• Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression
• The least prime ideal in the Chebotarev density theorem
• The zeros of the Riemann zeta-function

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