Some explicit zero-free regions for Hecke \(L\)-functions

DOI10.1016/j.jnt.2014.06.008zbMath1317.11115OpenAlexW2022843898MaRDI QIDQ741696

Soun-Hi Kwon, Jeoung-Hwan Ahn

Publication date: 12 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.06.008

zbMATH Keywords

Hecke \(L\)-functionsDedekind zeta functionszero-free regions

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42)

Related Items (12)

An explicit bound for the least prime ideal in the Chebotarev density theorem ⋮ EXPLICIT ZERO‐FREE REGIONS FOR DIRICHLET ‐FUNCTIONS ⋮ Primes in the Chebotarev density theorem for all number fields (with an appendix by Andrew Fiori) ⋮ On the number of integral ideals in a number field ⋮ An explicit upper bound for the least prime ideal in the Chebotarev density theorem ⋮ Explicit estimates for the zeros of Hecke \(L\)-functions ⋮ Arbitrarily long gaps between the values of positive‐definite cubic and biquadratic diagonal forms ⋮ Problème de Lehmer sur les courbes elliptiques à multiplications complexes ⋮ Simple zeros of Dedekind zeta functions ⋮ Bounding the least prime ideal in the Chebotarev density theorem ⋮ Unnamed Item ⋮ Lower estimates for the prime ideal of degree one counting function in the Chebotarev density theorem

Cites Work

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• Some effective cases of the Brauer-Siegel theorem
• The smallest prime that does not split completely in a number field
• EXPLICIT ZERO-FREE REGIONS FOR DEDEKIND ZETA FUNCTIONS
• The Character Sum Estimate with r = 3
• Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression
• Une région explicite sans zéros pour la fonction ζ de Riemann
• Quadratic class numbers and character sums
• On Character Sums and L -Series. II
• The zeros of the Riemann zeta-function

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