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Joint value-distribution theorems on Lerch zeta-functions. II
Authors:A. Laurinčikas  K. Matsumoto
Affiliation:(1) Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, LT-03225 Vilnius;(2) Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan
Abstract:We give corrected statements of some theorems from [5] and [6] on joint value-distribution of Lerch zeta-functions (limit theorems, universality, functional independence). We also present a new direct proof of a joint limit theorem in the space of analytic functions and an extension of a joint universality theorem. Published in Lietuvos Matematikos Rinkinys, Vol. 46, No. 3, pp. 332–350, July–September, 2006.
Keywords:Lerch zeta-function  limit theorem  probability measure  space of analytic functions  support  universality  weak convergence
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