On arithmetic numbers
Number Theory
2012-06-11 v1
Abstract
An integer is said to be \textit{arithmetic} if the arithmetic mean of its divisors is an integer. In this paper, using properties of the factorization of values of cyclotomic polynomials, we characterize arithmetic numbers. As an application, in Section 2, we give an interesting characterization of Mersenne numbers.
Keywords
Cite
@article{arxiv.1206.1823,
title = {On arithmetic numbers},
author = {Antonio M. Oller-Marcén},
journal= {arXiv preprint arXiv:1206.1823},
year = {2012}
}