Bounded step functions and factorial ratio sequences

Details Bounded step functions and factorial ratio sequences Bounded step functions and factorial ratio sequences

2007-10-18

arxiv.org/abs/0710.3459v2

Mathematics

Number Theory

11 Pages; argument improved and simplified; references added

Scientific paper

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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