Some value-distribution theorems for periodic Hurwitz zeta-functions

A. Laurinčikas

Department of Mathematical Computer Science, Vilnius University, Lithuania

Abstract: The present paper is a survey of recent value-distribution results for periodic Hurwitz zeta-functionsis. These results include probabilistic limit theorems, universality and the functional independence of periodic Hurwitz zeta-functions. Both one-dimensional and joint value-distribution theorems are concerned.

UDC: 511.331

 English version: Journal of Mathematical Sciences (New York), 2012, 180:5, 581–591

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