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math.NT2007
Bounded step functions and factorial ratio sequences
Jason Bell, Jonathan Bober
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…
math.NT2007★ 31 cited
Factorial ratios, hypergeometric series, and a family of step functions
Jonathan Bober
We give a complete classification of a certain family of step functions related to the Nyman--Beurling approach to the Riemann hypothesis and previously studied by V. I. Vasyunin.…