D. A. Goldston, C. Y. Yildirim
Published 2005-04-16Version 1
We use short divisor sums to approximate prime tuples and moments for primes in short intervals. By connecting these results to classical moment problems we are able to prove that a positive proportion of consecutive primes are within a quarter of the average spacing between primes.
Note On Prime Gaps And Very Short Intervals
Bounded gaps between primes in short intervals
Higher moments of primes in short intervals I
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