Joint value-distribution theorems on Lerch zeta-functions. II |
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Authors: | A. Laurinčikas K. Matsumoto |
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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 |
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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. |
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Keywords: | Lerch zeta-function limit theorem probability measure space of analytic functions support universality weak convergence |
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