Small Gaps Between Primes I

Details Small Gaps Between Primes I Small Gaps Between Primes I

2005-04-16

arxiv.org/abs/math/0504336v1

Mathematics

Number Theory

Scientific paper

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.

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