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Multiple positivity and the Riemann zeta-function

Complex Variables 2007-05-23 v1 Number Theory

Abstract

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

Keywords

Cite

@article{arxiv.math/0505174,
  title  = {Multiple positivity and the Riemann zeta-function},
  author = {Olga M. Katkova},
  journal= {arXiv preprint arXiv:math/0505174},
  year   = {2007}
}

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22 pages