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arXiv · 2208.11442

Exponential moments of the logarithm of the Riemann zeta-function twisted by arguments

Shōta Inoue
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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.

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Shōta Inoue. 2022-08-24. Exponential moments of the logarithm of the Riemann zeta-function twisted by arguments. https://arxiv.org/abs/2208.11442

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