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math.NT2023
A probabilistic interpretation for central zeros of -functions in the Selberg class
Takashi Nakamura, Masatoshi Suzuki
We show that central zeros of -functions in the Selberg class have a probabilistic interpretation by stating an equivalence condition of the Riemann hypothesis for the -funct…
math.NT2023
On infinitely divisible distributions related to the Riemann hypothesis
Takashi Nakamura, Masatoshi Suzuki
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…