Value distribution of the Lerch zeta-function with algebraic irrational parameter. II |
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| Authors: | D. Genienė A. Laurinčikas R. Macaitienė |
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| Affiliation: | (1) Šiauliai University, P. Višinskio 25, LT-76351 Šiauliai, Lithuania;(2) Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania;(3) Šiauliai University, P. Višinskio 19, LT-77156 Šiauliai, Lithuania |
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| Abstract: | In this paper, we obtain a joint limit theorem in the sense of weak convergence of probability measures on the complex plane for Lerch zeta-functions with algebraic irrational parameters and give an explicit form of the limit measure. Published in Lietuvos Matematikos Rinkinys, Vol. 47, No. 4, pp. 482–496, October–December, 2007. |
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| Keywords: | algebraic irrational number Lerch zeta-function limit theorem probability measure weak convergence |
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