Small Gaps Between Primes I
数论
2007-05-23 v1
摘要
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.
关键词
引用
@article{arxiv.math/0504336,
title = {Small Gaps Between Primes I},
author = {D. A. Goldston and C. Y. Yildirim},
journal= {arXiv preprint arXiv:math/0504336},
year = {2007}
}