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

2021/05/11 by Kenta Endo, Endo, Kenta, Shōta Inoue +3
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.2105.04781

openalex publication_date 2021/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we discuss the value-distribution of the Riemann zeta-function. The authors give some results for the discrepancy estimate and large deviations in the limit theorem by Bohr and Jessen.

Citations

• On the logarithm of the Riemann zeta-function and its iterated integrals
• Extreme values for iterated integrals of the logarithm of the Riemann zeta-function
• Joint value distribution of L-functions on the critical line

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