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A note on integer factorial ratios and certain step function | | Jason Bell
; Jonathan Bober
; | | Date: |
18 Oct 2007 | | 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. | | Source: | arXiv, 0710.3459 | | Services: | Forum | Review | PDF | Favorites | |
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