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

2020/09/09 by Shōta Inoue, Inoue, Shōta · 1 citation
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2009.04099

openalex publication_date 2020/09/09 · openalex created_date 2020/09/14 · openalex updated_date 2026/07/28

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 Ω-result of S₁(t) for the part of minus of Tsang.

Cited by

• On the value-distribution of iterated integrals of the logarithm of the Riemann zeta-function II: probabilistic aspects

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