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Multiple positivity and the Riemann zeta-function

Olga M. Katkova

math.CVarXiv:math/0505174

Abstract

In the paper it is discussed the relations of the Riemann ζ-function to classes of generating functions of multiply positive sequences according to Schoenberg (also called Pólya frequency sequences). Key words: multiply positive sequences, totally positive sequences, Pólya frequency sequences, Laguerre-Pólya class, Riemann ζ-function.

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