Displaying similar documents to “Limit theorems in the space of analytic functions for the Hurwitz zeta-function with an algebraic irrational parameter”

Limit theorems for the Estermann zeta-function. II

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.

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.

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.

Universality results on Hurwitz zeta-functions

Antanas Laurinčikas, Renata Macaitienė (2016)

Banach Center Publications

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In the paper, we give a survey of the results on the approximation of analytic functions by shifts of Hurwitz zeta-functions. Theorems of such a kind are called universality theorems. Continuous, discrete and joint universality theorems of Hurwitz zeta-functions are 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.