Open Access
September 2017 Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH, II
Loïc Grenié, Giuseppe Molteni
Funct. Approx. Comment. Math. 57(1): 21-38 (September 2017). DOI: 10.7169/facm/1611

Abstract

We have recently proved several explicit versions of the prime ideal theorem under GRH. Here we further explore the method, in order to deduce its strongest consequence for the case where $x$ diverges.

Citation

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Loïc Grenié. Giuseppe Molteni. "Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH, II." Funct. Approx. Comment. Math. 57 (1) 21 - 38, September 2017. https://doi.org/10.7169/facm/1611

Information

Published: September 2017
First available in Project Euclid: 5 May 2017

zbMATH: 06864161
MathSciNet: MR3704223
Digital Object Identifier: 10.7169/facm/1611

Subjects:
Primary: 11R42
Secondary: 11Y70

Keywords: Dedekind functions , Explicit bounds , GRH , prime ideal theorem

Rights: Copyright © 2017 Adam Mickiewicz University

Vol.57 • No. 1 • September 2017
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