s-自由数的孪生对
数论
2013-07-09 v1
摘要
我们将 Heath-Brown 开发的平方筛法推广到更高次幂,以改进计数连续无幂次数的误差项。
引用
@article{arxiv.1307.2066,
title = {Twins of s-free numbers},
author = {Julia Brandes},
journal= {arXiv preprint arXiv:1307.2066},
year = {2013}
}
备注
This work has been submitted as a Diploma Thesis to the University of Stuttgart in 2009 essentially in its current form, and is now being made available as interest in this and related problems seems to have recently increased. One should note that the main result has since been improved by Reuss (arXiv:1212.3150) and by forthcoming work of Dietmann and Marmon; Diplomarbeit, Universit\"at Stuttgart, 2009