Conditional upper bound for the \(k\)-th prime ideal with given Artin symbol

DOI10.1016/j.jnt.2019.12.008zbMath1445.11131arXiv1906.01994OpenAlexW3002700468WikidataQ126328013 ScholiaQ126328013MaRDI QIDQ2182161

Loïc Grenié, Giuseppe Molteni

Publication date: 21 May 2020

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

Full work available at URL: https://arxiv.org/abs/1906.01994

zbMATH Keywords

explicit boundsArtin \(L\)-functionsvalues of arithmetic functions

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Values of arithmetic functions; tables (11Y70)

Cites Work

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• An explicit Chebotarev density theorem under GRH
• Über den Tschebotareffschen Dichtigkeitssatz
• Approximate formulas for some functions of prime numbers
• Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH
• Explicit smoothed prime ideals theorems under GRH
• Corrigendum to \lq\lq Conditional bounds for the least quadratic non-residue and related problems\rq\rq
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II
• Explicit bounds for primes in residue classes
• Lower bounds for discriminants of number fields
• Conditional bounds for the least quadratic non-residue and related problems
• A reduction of the Čebotarev density theorem to the cyclic case

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