Exponential moments of the logarithm of the Riemann zeta-function twisted by arguments
Sh\=ota Inoue
TL;DR
This paper provides new upper bounds for exponential moments of the logarithm of the Riemann zeta-function twisted by arguments, improving previous results and offering unconditional bounds.
Contribution
It introduces improved upper bounds for exponential moments of the zeta-function's logarithm, advancing understanding of its behavior without relying on unproven hypotheses.
Findings
Enhanced upper bounds for exponential moments
Unconditional bounds established
Improvement over Najnudel's results
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAnalytic Number Theory Research · Analytic and geometric function theory · Meromorphic and Entire Functions