A Smoothed GPY Sieve
数论
2014-02-26 v2
摘要
We show a smoothed version of Goldston-Pintz-Yildirim's sifting argument to detect small gaps between primes, which has a higly flexible error term. Our argument is applicable to high dimensional Selberg sieve situations as well, although the relevant details are not stated explicitly. In the present v.2, we have added Appendix in which we made a minor correction to our reasoning following formula (5.14). We are indebted to Professor Terrence Tao for pointing out the necessity of this amendment. The text of the original version has not been changed, except for a correction of the title in the item [2] of the references.
引用
@article{arxiv.math/0602599,
title = {A Smoothed GPY Sieve},
author = {Yoichi Motohashi and Janos Pintz},
journal= {arXiv preprint arXiv:math/0602599},
year = {2014}
}
备注
17 pages