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A two-dimensional limit theorem for Mellin transforms of the Riemann zeta-function
Authors:A. Laurinčikas
Affiliation:(1) Department of Mathematics and Informatics, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania
Abstract:In this paper, we obtain a two-dimensional limit theorem in the sense of weak convergence of probability measures on the complex plane for Mellin transforms of the square and the fourth power of the Riemann zeta-function. Partially supported by the Lithuanian Foundation of Studies and Science.
Keywords:limit theorem  Mellin transform  probability measure  Riemann zeta-function  weak convergence
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