A note on a Bombieri-type result in algebraic prime number theory
type: Item
instance of: scholarly article
title: A note on a Bombieri-type result in algebraic prime number theory
zbMATH Open document ID: 0865.11078
DOI: 10.1007/BF01196163
published in: Archiv der Mathematik
publication date: 1996-10-27T00:00:00Z
review text: An analogue of the well-known Bombieri-Vinogradov mean-value theorem was proved for the sequence of numbers \(n=p_1p_2\) \((p_1,p_2\) prime) by \textit{M. B. Barban} [Russ. Math. Surv. 21, No. 1, 49-103 (1966); translation from Usp. Mat. Nauk 21, No. 1, 51-102 (1966; Zbl 0234.10031)]. The author gives an improved version of his earlier generalization of this theorem [J. Number Theory 13, 463-484 (1981; Zbl 0472.12012)] to algebraic number fields.
reviewed by: Dieter Wolke
Mathematics Subject Classification ID: 11R44
Mathematics Subject Classification ID: 11N25
zbMATH DE Number: 938571
zbMATH Keywords: Bombieri-Vinogradov mean-value theorem
zbMATH Keywords: algebraic number fields
author: Jürgen Hinz
MaRDI profile type: Publication
cites work: Q5507771
cites work: THE 'LARGE SIEVE' METHOD AND ITS APPLICATIONS IN THE THEORY OF NUMBERS
cites work: On the theorem of Barban and Davenport-Halberstam in algebraic number fields
cites work: Some applications of sieve methods in algebraic number fields
full work available at URL: https://doi.org/10.1007/bf01196163
OpenAlex ID: W2116928232
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description: scientific article; zbMATH DE number 938571