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Primes in Tuples IV: Density of small gaps between consecutive primes

Authors :
Goldston, D. A.
Pintz, J.
Yildirim, C. Y.
Publication Year :
2011

Abstract

We show that a positive proportion of all gaps between consecutive primes are small gaps. We provide several quantitative results, some unconditional and some conditional, in this flavour.

Subjects

Subjects :
Mathematics - Number Theory
11N05

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1103.5886
Document Type :
Working Paper

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