An Elementary Problem Equivalent to the Riemann Hypothesis
Number Theory
2007-05-23 v2
Abstract
This paper shows the equivalence of the Riemann hypothesis to an sequence of elementary inequalities involving the harmonic numbers H_n, the sum of the reciprocals of the integers from 1 to n. It is a modification of a criterion due to Guy Robin.
Cite
@article{arxiv.math/0008177,
title = {An Elementary Problem Equivalent to the Riemann Hypothesis},
author = {Jeffrey C. Lagarias},
journal= {arXiv preprint arXiv:math/0008177},
year = {2007}
}
Comments
9 pages, Latex, explanatory section 2 added; proofs simplified