Multiple positivity and the Riemann zeta-function

Details Multiple positivity and the Riemann zeta-function Multiple positivity and the Riemann zeta-function

2005-05-10

arxiv.org/abs/math/0505174v1

Mathematics

Complex Variables

22 pages

Scientific paper

In the paper it is discussed the relations of the Riemann $\zeta-$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 $\zeta-$function.

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