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A remark on the distribution of the values of the Riemann zeta function

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Abstract

On a certain probability space, an analytic random element and a random variable both related to the Riemann zeta function and a measurable measure preserving transformation are considered. For these entities, an equality generalizing the classical ergodic Birkhoff–Khinchine theorem is proved.

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Correspondence to A. Laurinčikas.

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Original Russian Text © A. Laurinˇcikas, 2017, published in Matematicheskie Zametki, 2017, Vol. 102, No. 2, pp. 247–254.

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Laurinčikas, A. A remark on the distribution of the values of the Riemann zeta function. Math Notes 102, 212–218 (2017). https://doi.org/10.1134/S0001434617070239

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  • DOI: https://doi.org/10.1134/S0001434617070239

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