Erdős-Hooley Delta 函数均值的一个上界
数论
2023-12-11 v4
摘要
Erdős-Hooley Delta 函数对 定义为 。我们证明对所有 有 。这改进了 Hooley、Hall--Tenenbaum 以及 La Bret\`eche-Tenenbaum 的早期工作。
引用
@article{arxiv.2306.08615,
title = {An upper bound on the mean value of the Erd\H{o}s-Hooley Delta function},
author = {Dimitris Koukoulopoulos and Terence Tao},
journal= {arXiv preprint arXiv:2306.08615},
year = {2023}
}
备注
18 pages. Some minor changes. This is the final version that will apper in Proc. London Math. Soc