Lower estimates for the prime ideal of degree one counting function in the Chebotarev density theorem

DOI10.4064/aa180427-18-12zbMath1462.11105OpenAlexW2973691855WikidataQ127213446 ScholiaQ127213446MaRDI QIDQ5237125

Jeoung-Hwan Ahn, Soun-Hi Kwon

Publication date: 16 October 2019

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa180427-18-12

zbMATH Keywords

Chebotarev density theoremDedekind zeta functions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions of number fields (11R42) Density theorems (11R45) Distribution of prime ideals (11R44)

Related Items (3)

Uniform explicit Stewart theorem on prime factors of linear recurrences ⋮ Primes in the Chebotarev density theorem for all number fields (with an appendix by Andrew Fiori) ⋮ Unnamed Item

Cites Work

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• An explicit Chebotarev density theorem under GRH
• Some explicit zero-free regions for Hecke \(L\)-functions
• A bound for the least prime ideal in the Chebotarev density theorem
• Some effective cases of the Brauer-Siegel theorem
• Über den Tschebotareffschen Dichtigkeitssatz
• An explicit bound for the least prime ideal in the Chebotarev density theorem
• An explicit upper bound for the least prime ideal in the Chebotarev density theorem
• Explicit smoothed prime ideals theorems under GRH
• On the Brun–Titchmarsh theorem
• A reduction of the Čebotarev density theorem to the cyclic case

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