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Antanas Laurinčikas (2010)
Open Mathematics
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The distribution of the vector (|ζ(s, α)|; ζ(s, α)), where ζ(s, α) is the Hurwitz zeta-function with transcendental parameter α, is considered and a probabilistic limit theorem is obtained. Also, the dependence between |ζ(s, α)| and ζ(s, α) in terms of m-characteristic transforms is discussed.
Antanas Laurinčikas, Jörn Steuding (2011)
Open Mathematics
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We prove a limit theorem in the space of analytic functions for the Hurwitz zeta-function with algebraic irrational parameter.
Antanas Laurinčikas (2005)
Open Mathematics
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A limit theorem in the sense of the weak convergence of probability measures in the space of meromorphic functions for the Estermann zeta-function is obtained.
A. Laurinčikas (1991)
Acta Arithmetica
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Masanori Katsurada (1997)
Collectanea Mathematica
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We shall establish full asymptotic expansions for the mean squares of Lerch zeta-functions, based on F. V. Atkinson's device. Mellin-Barnes' type integral expression for an infinite double sum will play a central role in the derivation of our main formulae.
Thu Nguyen (1979)
Studia Mathematica
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Ivan Kramosil (1996)
Kybernetika
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Virginija Garbaliauskiene, Antanas Laurinčikas (2004)
Publications de l'Institut Mathématique
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D. Kannan, A. T. Bharucha-Reid (1971)
Annales de l'I.H.P. Probabilités et statistiques
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