Higher correlations of divisor sums related to primes III: small gaps between primes
We use 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, for any η > 0, a positive proportion of consecutive primes are within 14+η times the average spacing between primes.
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| Published in: | Proceedings of the London Mathematical Society Vol. 95; no. 3; pp. 653 - 686 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Oxford University Press
01.11.2007
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| ISSN: | 0024-6115, 1460-244X |
| Online Access: | Get full text |
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