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arXiv · 0710.3459

Bounded step functions and factorial ratio sequences

Jason Bell·Jonathan Bober
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Abstract

We 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.

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Jason Bell, Jonathan Bober. 2008-03-31. Bounded step functions and factorial ratio sequences. https://arxiv.org/abs/0710.3459

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