Quotient singularities, integer ratios of factorials and the Riemann Hypothesis

dc.creatorBorisov, Alexander
dc.date2005-05-10
dc.date.accessioned2026-07-07T05:19:45Z
dc.date.available2026-07-07T05:19:45Z
dc.descriptionThe goal of this paper is to reveal a close connection between the following three subjects that have not been studied together in the past: terminal and canonical cyclic quotient singularities, integer ratios of factorials, Nyman's approach to the Riemann Hypothesis. In particular, we notice that the constructions of P.A. Picon are relevant for the study of singularities and possibly the Riemann Hypothesis. The list of the 29 stable quintuples of Mori-Morrison-Morrison coincides, up to the choice of notation, with the list of the 29 step functions with five terms of Vasyunin. We also reformulate and generalize a conjecture of Vasyunin.
dc.description14 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0505167
dc.identifierhttp://arxiv.org/abs/math/0505167
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75131
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11M26; 14M25; 52B20; 11A63
dc.titleQuotient singularities, integer ratios of factorials and the Riemann Hypothesis
dc.typetext

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