Positive Proportion of Small Gaps Between Consecutive Primes

2011/03/21 by Goldston, D. A., Pintz, J., Yildirim, C. Y.
#11N05 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1103.3986

Abstract

We prove that a positive proportion of the gaps between consecutive primes are short gaps of length less than any fixed fraction of the average spacing between primes.

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