Über das Primzahl-Zwillingsproblem. (On the twin-prime problem)
type: Item
instance of: scholarly article
title: Über das Primzahl-Zwillingsproblem. (On the twin-prime problem)
zbMATH Open document ID: 0646.10033
DOI: 10.1007/BF01442852
published in: Mathematische Annalen
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164525
review text: It is shown that for `almost all' numbers \(k\leq x\) and all \(y\in [2x,x^{8/5-\epsilon}]\) the number of prime pairs \(\leq y\) with difference 2k is asymptotically equal to the expression conjectured by Hardy-Littlewood. This improves earlier results of van der Corput and Lavrik.
Mathematics Subject Classification ID: 11N05
zbMATH DE Number: 4053739
zbMATH Keywords: number of twin primes
author: Dieter Wolke
reviewed by: Dieter Wolke
MaRDI profile type: Publication
cites work: Sur l'hypothèse de Goldbach pour presque tous les nombres pairs
cites work: Q3275904
cites work: Topics in multiplicative number theory
cites work: The exceptional set of Goldbach's problem
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cites work: Q5803461
cites work: Q3903082
OpenAlex ID: W2010086747
description: scientific article; zbMATH DE number 4053739