Schoenberg's Theory of Totally Positive Functions and the Riemann Zeta Function

Karlheinz Gr\"ochenig

Schoenberg's Theory of Totally Positive Functions and the Riemann Zeta Function

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arxiv 2007.12889 v1 pith:GU5KUGLO submitted 2020-07-25 math.NT math.CV

Karlheinz Gröchenig This is my paper · ORCID

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keywords characterizationfunctionspositiveriemannschoenbergtotallyclasscondition

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We review Schoenberg's characterization of totally positive functions and its connection to the Laguerre-Polya class. This characterization yields a new condition that is equivalent to the truth of the Riemann hypothesis.

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