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Exponential moments of the logarithm of the Riemann zeta-function twisted by arguments (2208.11442v1)
Published 24 Aug 2022 in math.NT
Abstract: We discuss moments of the Riemann zeta-function in this paper. The purpose of this paper is to give an upper bound of exponential moments of the logarithm of the Riemann zeta-function twisted by arguments. Our results contain an improvement of Najnudel result for exponential moments of the argument of the Riemann zeta-function and an unconditional upper bound of the moments.