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

Published 25 Jul 2020 in math.NT and math.CV | (2007.12889v1)

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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