An Elementary Problem Equivalent to the Riemann Hypothesis

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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

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Number Theory, 11M26 (Primary) 11A25 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/59783

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0008177
 http://arxiv.org/abs/math/0008177
 Amer. Math. Monthly 109 (2002), 534--543

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arXiv