About the Non-Integer Property of Hyperharmonic Numbers
Number Theory
2008-11-04 v1
Abstract
It was proven in 1915 by Leopold Theisinger that the harmonic numbers are never integers. In 1996 Conway and Guy have defined the concept of hyperharmonic numbers. The question naturally arises: are there any integer hyperharmonic numbers? The author gives a partial answer to this question and conjectures that the answer is "no".
Cite
@article{arxiv.0811.0043,
title = {About the Non-Integer Property of Hyperharmonic Numbers},
author = {István Mező},
journal= {arXiv preprint arXiv:0811.0043},
year = {2008}
}
Comments
7 pages Accepted in Annales Univ. Sci. Budapest., Sect. Math