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

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arxiv 2105.04781 v1 pith:CP42ARNX submitted 2021-05-11 math.NT math.PR

Kenta Endo , Shōta Inoue , Masahiro Mine This is my paper · ORCID
classification math.NTmath.PR
keywords riemannvalue-distributionzeta-functionaspectsauthorsbohrdeviationsdiscrepancy
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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.

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  1. On the value distribution of the Riemann zeta-function with general shifts

    math.NT 2026-07 conditional novelty 7.0 of 10

    The Riemann zeta-function is shown to have the universality and Bohr–Jessen distribution properties under logarithmic-power shifts (log t)^α, α>1, with quantitative discrepancy bounds.

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