An Improved Bound for Characterizing Integer-valued Factorial Ratio Sequences
نویسنده
چکیده
We study the nonnegativity of a certain class of step functions, associated with the integrality of sequences of ratios of factorial products. In particular, we extend the work of previous authors Bell and Bober [1], obtaining tighter lower bounds on the mean square of such step functions, allowing us to find better asymptotic and general restrictions on when the factorial ratio sequences can be integer-valued.
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تاریخ انتشار 2010