On some Euler products. I
type: Item
instance of: scholarly article
title: On some Euler products. I
zbMATH Open document ID: 0559.12009
author: Nobushige Kurokawa
published in: Proceedings of the Japan Academy. Series A
publication date: 1984-01-01T00:00:00Z
review text: In this note the author announces the publication of a series of papers in which he will prove results on the meromorphy of Euler products of a very general type (including Artin L-functions). These Euler products are either meromorphic on the whole plane or have \(Re(s)=0\) as a natural boundary. Results of this nature were already announced by the author in 1978 (see the references at the end of the present note), but proofs existed only in preprint form.
Mathematics Subject Classification ID: 11R42
Mathematics Subject Classification ID: 11M06
zbMATH DE Number: 3891487
zbMATH Keywords: zeta function of prime set
zbMATH Keywords: meromorphy
zbMATH Keywords: Euler products
zbMATH Keywords: Artin L- functions
zbMATH Keywords: natural boundary
reviewed by: J. G. M. Mars
MaRDI profile type: Publication
full work available at URL: pjaa.60.335
OpenAlex ID: W2062257967
cites work: On the meromorphy of Euler products
cites work: On Linnik's problem
DOI: 10.3792/PJAA.60.335
description: scientific article; zbMATH DE number 3891487