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

Published 9 Sep 2020 in math.NT and math.PR | (2009.04099v1)

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.

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Authors (1)

  1. Shōta Inoue 

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