An Elementary Problem Equivalent to the Riemann Hypothesis

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dc.creatorLagarias, Jeffrey C.
dc.date2000-08-22
dc.date2001-05-06
dc.date.accessioned2026-07-07T04:36:56Z
dc.date.available2026-07-07T04:36:56Z
dc.descriptionThis 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.
dc.description9 pages, Latex, explanatory section 2 added; proofs simplified
dc.identifierhttps://arxiv.org/abs/math/0008177
dc.identifierhttp://arxiv.org/abs/math/0008177
dc.identifierAmer. Math. Monthly 109 (2002), 534--543
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59783
dc.subjectNumber Theory
dc.subject11M26 (Primary) 11A25 (Secondary)
dc.titleAn Elementary Problem Equivalent to the Riemann Hypothesis
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