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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 1, Pages 110–127 (Mi smj2071)  
Limit theorems for the Mellin transform of the fourth power of the Riemann zeta-function

A. Laurinčikasab

a Institute of Mathematics and Informatics, Vilnius, Lithuania
b Department of Mathematics and Informatics, Vilnius University, Vilnius, Lithuania
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Abstract: We prove limit theorems in the sense of weak convergence of probability measures on the complex plane as well as in the space of analytic functions for the Mellin transform of $|\zeta(\frac12+it)|^4$.
Keywords: limit theorem, Mellin transform, probability measure, random element, Riemann zetafunction, space of analytic functions.
Received: 06.08.2008
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 1, Pages 88–103
DOI: https://doi.org/10.1007/s11202-010-0011-x
Bibliographic databases:
UDC: 511
Language: Russian
Citation: A. Laurinčikas, “Limit theorems for the Mellin transform of the fourth power of the Riemann zeta-function”, Sibirsk. Mat. Zh., 51:1 (2010), 110–127; Siberian Math. J., 51:1 (2010), 88–103
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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