Limit theorems for the Estermann zeta-function. II
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.
Limit theorem in the space of continuous functions for the Dirichlet polynomial related with the Riemann zeta-funtion
A limit theorem in the space of continuous functions for the Dirichlet polynomial where denote the coefficients of the Dirichlet series expansion of the function in the half-plane , and , 1n and as , is proved.
On the distribution of complex-valued multiplicative functions
Let , be complex-valued multiplicative functions. In the paper the necessary and sufficient conditions are indicated for the convergence in some sense of probability measure as .
Limit theorems for the Matsumoto zeta-function
In this paper two weighted functional limit theorems for the function introduced by K. Matsumoto are proved.
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)
Limit theorems for the Mellin transform of the square of the Riemann zeta-function. I
On limit distribution of the Hurwitz zeta-function
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.
The joint distribution of additive and complex-valued multiplicative functions
In the paper the necessary and sufficient conditions for the existence of joint limit distribution for real additive and complex-valued multiplicative function are presented.
Limit theorems in the space of analytic functions for the Hurwitz zeta-function with an algebraic irrational parameter
We prove a limit theorem in the space of analytic functions for the Hurwitz zeta-function with algebraic irrational parameter.
The universality of zeta-functions attached to certain cusp forms
Discrete limit theorems for the Mellin transform of the Riemann zeta-function
Universality results on Hurwitz zeta-functions
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 the Laplace transform of the Riemann zeta-function
In the paper discrete limit theorems in the sense of weak convergence of probability measures on the complex plane as well as in the space of analytic functions for the Laplace transform of the Riemann zeta-function are proved.
A Note on Moments of Zeta'(1/2+i Gamma)
Discrete Value -- Distribution of L-functions of Elliptic Curves
On zeta-functions associated to certain cusp forms. II
A formula for the mean value of multiplicative functions associated to certain cusp forms is obtained. The paper is a continuation of [4].
A note on moments of .
Discrete universality of the -functions of elliptic curves.
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