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arXiv · 2007.12889

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

Karlheinz Gröchenig
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Abstract

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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Karlheinz Gröchenig. 2020-07-25. Schoenberg's Theory of Totally Positive Functions and the Riemann Zeta Function. https://arxiv.org/abs/2007.12889

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