Extreme values for iterated integrals of the logarithm of the Riemann zeta-function

Shōta Inoue

Extreme values for iterated integrals of the logarithm of the Riemann zeta-function

Number Theory 2020-09-10 v1 Probability

Authors: Shōta Inoue

Abstract

In this paper, we give an approximate formula for the measure of extreme values for the logarithm of the Riemann zeta-function and its iterated integrals. The result recovers the unconditional best result for the $\Omega$ -result of $S_{1}(t)$ for the part of minus of Tsang.

Keywords

riemann zeta-function iterated integrals extreme values omega result tsang

Cite

@article{arxiv.2009.04099,
  title  = {Extreme values for iterated integrals of the logarithm of the Riemann zeta-function},
  author = {Shōta Inoue},
  journal= {arXiv preprint arXiv:2009.04099},
  year   = {2020}
}

Comments

21 pages

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