On the elementary symmetric functions of $1, 1/2, \ldots , 1/n$
Number Theory
2014-09-16 v1
Abstract
In 1946, P. Erd\H os and I. Niven proved that there are only finitely many positive integers for which one or more elementary symmetric functions of are integers. In this paper we solve this old problem by showing that if , then none of elementary symmetric functions of is an integer.
Keywords
Cite
@article{arxiv.1109.1442,
title = {On the elementary symmetric functions of $1, 1/2, \ldots , 1/n$},
author = {Yong-Gao Chen and Min Tang},
journal= {arXiv preprint arXiv:1109.1442},
year = {2014}
}
Comments
7pages