English

A new upper bound for odd perfect numbers of a special form

Number Theory 2020-12-29 v3

Abstract

We shall given a new effectively computable upper bound of odd perfect numbers whose Euler factors are powers of fixed exponent, improving our old result in T. Yamada, Colloq. Math. 103 (2005), 303--307.

Keywords

Cite

@article{arxiv.1706.09341,
  title  = {A new upper bound for odd perfect numbers of a special form},
  author = {Tomohiro Yamada},
  journal= {arXiv preprint arXiv:1706.09341},
  year   = {2020}
}

Comments

10 pages, the author's revised version; 3 pages, corrigendum to the previous (published in the journal) version