显式筛估计与某类奇多完全数的不存在性
数论
2024-08-13 v4
摘要
我们证明了筛法中使用的某些函数的显式渐近公式，并表明不存在平方部分为无立方因子的、丰度为四的奇多完全数。
引用
@article{arxiv.2103.16936,
title = {Explicit sieve estimates and nonexistence of odd multiperfect numbers of a certain form},
author = {Tomohiro Yamada},
journal= {arXiv preprint arXiv:2103.16936},
year = {2024}
}
备注
17 pages (The proof of Lemma 2.3 is refined and Theorem 3.1 is improved, freeing us from checking exceptional primes), the author's final version. Appeared in International J. Number Theory (Online Ready)