English

On finiteness of odd superperfect numbers

Number Theory 2020-10-21 v7

Abstract

Some new results concerning the equation σ(N)=aM,σ(M)=bN\sigma(N)=aM, \sigma(M)=bN are proved. As a corollary, there are only finitely many odd superperfect numbers with a fixed number of distinct prime factors.

Keywords

Cite

@article{arxiv.0803.0437,
  title  = {On finiteness of odd superperfect numbers},
  author = {Tomohiro Yamada},
  journal= {arXiv preprint arXiv:0803.0437},
  year   = {2020}
}

Comments

14 pages, the author's final version, with the link to Western Number Theory Problems updated

R2 v1 2026-06-21T10:18:10.607Z