An Elementary Problem Equivalent to the Riemann Hypothesis

Jeffrey C. Lagarias

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An Elementary Problem Equivalent to the Riemann Hypothesis

Jeffrey C. Lagarias

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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.

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Jeffrey C. Lagarias. 2001-05-06. An Elementary Problem Equivalent to the Riemann Hypothesis. https://arxiv.org/abs/math/0008177

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