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A Remark on the Distribution of the Values of the Riemann Zeta Function
A. P. Laurinčikasab a Vilnius University
b Šiauliai University
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
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
Linking options:
https://www.mathnet.ru/eng/mzm11378https://doi.org/10.4213/mzm11378 https://www.mathnet.ru/eng/mzm/v102/i2/p247
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