paper

An Elementary Problem Equivalent to the Riemann Hypothesis

arXiv:math/0008177

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.

9 pages, Latex, explanatory section 2 added; proofs simplified

An Elementary Problem Equivalent to the Riemann Hypothesis · wovepaper