On infinitely divisible distributions related to the Riemann hypothesis

Takashi Nakamura and Masatoshi Suzuki

Statistics & Probability Letters, 2023, vol. 201, issue C

Abstract: For the Riemann zeta-function, we introduce a function such that it is a characteristic function of an infinitely divisible distribution on the real line if and only if the Riemann Hypothesis is true.

Keywords: Characteristic function; Infinitely divisible distribution; Lévy–Khintchine formula; Riemann zeta-function; Riemann Hypothesis (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1016/j.spl.2023.109889

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