Some Results on Generalized Multiplicative Perfect Numbers

Alexandre Laugier; Manjil P. Saikia; Upam Sarmah

Some Results on Generalized Multiplicative Perfect Numbers

Number Theory 2016-06-01 v2

Authors: Alexandre Laugier , Manjil P. Saikia , Upam Sarmah

Abstract

In this article, based on ideas and results by J. S\'andor (2001, 2004), we define $k$ -multiplicatively $e$ -perfect numbers and $k$ -multiplicatively $e$ -superperfect numbers and prove some results on them. We also characterize the $k$ - $T_0T^\ast$ -perfect numbers defined by Das and Saikia (2013) in details.

Keywords

perfect numbers

Cite

@article{arxiv.1603.04382,
  title  = {Some Results on Generalized Multiplicative Perfect Numbers},
  author = {Alexandre Laugier and Manjil P. Saikia and Upam Sarmah},
  journal= {arXiv preprint arXiv:1603.04382},
  year   = {2016}
}

Comments

17 pages, version 2, incorporated referee suggestions, accepted in Annali dell'Universit\`a di Ferrara

Some Results on Generalized Multiplicative Perfect Numbers

Abstract

Keywords

Cite

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