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Matematicheskie Zametki, 2017, Volume 102, Issue 2, Pages 247–254
DOI: https://doi.org/10.4213/mzm11378
(Mi mzm11378)
 

A Remark on the Distribution of the Values of the Riemann Zeta Function

A. P. Laurinčikasab

a Vilnius University
b Šiauliai University
References:
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.
Keywords: Riemann zeta function, limit theorem, uniform distribution, Birkhoff–Khinchine theorem.
Received: 15.09.2016
Revised: 18.01.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 2, Pages 212–218
DOI: https://doi.org/10.1134/S0001434617070239
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: A. P. Laurinčikas, “A Remark on the Distribution of the Values of the Riemann Zeta Function”, Mat. Zametki, 102:2 (2017), 247–254; Math. Notes, 102:2 (2017), 212–218
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm/v102/i2/p247
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    Математические заметки Mathematical Notes
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