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Displaying similar documents to “Limit theorems for the Estermann zeta-function. II”

On limit distribution of the Hurwitz zeta-function

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.

Discrete limit theorems for general Dirichlet series. III

A. Laurinčikas, R. Macaitienė (2004)

Open Mathematics

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Here we prove a limit theorem in the sense of the weak convergence of probability measures in the space of meromorphic functions for a general Dirichlet series. The explicit form of the limit measure in this theorem is given.

Limit theorems for the Matsumoto zeta-function

Antanas Laurinčikas (1996)

Journal de théorie des nombres de Bordeaux

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In this paper two weighted functional limit theorems for the function introduced by K. Matsumoto are proved.