Bounded step functions and factorial ratio sequences

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dc.creatorBell, Jason
dc.creatorBober, Jonathan
dc.date2007-10-18
dc.date2008-03-31
dc.date.accessioned2026-07-07T09:29:01Z
dc.date.available2026-07-07T09:29:01Z
dc.descriptionWe study certain step functions whose nonnegativity is related to the integrality of sequences of ratios of factorial products. In particular, we obtain a lower bound for the mean square of such step functions which allows us to give a restriction on when such a factorial ratio sequence can be integral. Additionally, we note that this work has applications to the classification of cyclic quotient singularities.
dc.description11 Pages; argument improved and simplified; references added
dc.identifierhttps://arxiv.org/abs/0710.3459
dc.identifierhttp://arxiv.org/abs/0710.3459
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157638
dc.subjectNumber Theory
dc.titleBounded step functions and factorial ratio sequences
dc.typetext

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