中文

Sorli猜想关于奇完全数的新结果——第二部分

数论 2022-02-09 v8

摘要

如果N=qkn2N={q^k}{n^2}是欧拉形式的奇完全数,那么Sorli猜想预测k=νq(N)=1k=\nu_{q}(N)=1。在本文中,我们给出了与该猜想以及论文\cite{Dris}和\cite{Dris2}中包含的结果相关的一些进一步结果。(因定理1中存在关键漏洞以及第2至4页数值界限的基本错误而撤回)

关键词

引用

@article{arxiv.1303.2329,
  title  = {New Results for Sorli's Conjecture on Odd Perfect Numbers - Part II},
  author = {Jose Arnaldo B. Dris},
  journal= {arXiv preprint arXiv:1303.2329},
  year   = {2022}
}

备注

This has been withdrawn because of a crucial gap in Theorem 1 [see arXiv:1309.0906 for what is currently provable in this regard], as well as elementary mistakes in the numerical bounds from pages 2 to 4