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1
Content available remote

On limit distribution of the Hurwitz zeta-function

100%
Laurinčikas A.
Open Mathematics
|
2010
|
tom 8
|
nr 4
786-794
EN
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.
2
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Corrigendum to the paper "Limit theorems for the Mellin transform of the square of the Riemann zeta-function. I" (Acta Arith. 122 (2006), 173-184)

100%
Laurinčikas A.
Acta Arithmetica
|
2010
|
tom 143
|
nr 2
191-195
3
Content available remote

Limit theorems for the Mellin transform of the square of the Riemann zeta-function. I

100%
Laurinčikas A.
Acta Arithmetica
|
2006
|
tom 122
|
nr 2
173-184
4
Content available remote

Limit theorems for the Estermann zeta-function. II

100%
Laurinčikas A.
Open Mathematics
|
2005
|
tom 3
|
nr 4
580-590
EN
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.
5
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The universality of zeta-functions attached to certain cusp forms

64%
Laurinčikas A., Matsumoto K.
Acta Arithmetica
|
2001
|
tom 98
|
nr 4
345-359
6
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Limit theorems in the space of analytic functions for the Hurwitz zeta-function with an algebraic irrational parameter

64%
Laurinčikas A., Steuding J.
Open Mathematics
|
2011
|
tom 9
|
nr 2
319-327
EN
We prove a limit theorem in the space of analytic functions for the Hurwitz zeta-function with algebraic irrational parameter.
7
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Universality results on Hurwitz zeta-functions

64%
Laurinčikas A., Macaitienė R.
Banach Center Publications
|
2016
|
tom 108
|
nr 1
161-172
EN
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.
8
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Discrete limit theorems for the Mellin transform of the Riemann zeta-function

64%
Balinskaitė V., Laurinčikas A.
Acta Arithmetica
|
2008
|
tom 131
|
nr 1
29-42
9
Content available remote

On zeta-functions associated to certain cusp forms. II

51%
Laurinčikas A., Steuding J., Šiaučiūnas D.
Open Mathematics
|
2009
|
tom 7
|
nr 4
635-649
EN
A formula for the mean value of multiplicative functions associated to certain cusp forms is obtained. The paper is a continuation of [4].
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