Add to ORKG. A limit theorem in the space of continuous functions for the Dirichlet polynomial X mT d T (m) m oe T +it ; where d T (m) denote the coefficients of the Dirichlet series expansion of the function i T (s) in the half-plane oe ? 1, T = (2 \Gamma1 ln l T ) \Gamma1=2 , oe T = 1 2 + ln 2 l T l T and l T ? 0, l T ln T and l T !1 as T !1, is proved. Let s be a complex variable and i(s), as usual, denote the Riemann zetafunction. To study the distribution of values of the Riemann zeta-function the probabilistic methods can be used, and the obtained results usually are presented as the limit theorems of probability theory. The first theorems of this type were obtained in [1],[2], and they were proved in [3]-[5] using other meth...
One of the most important functions is the Riemann zeta function. For the complexity of zeta functio...
Ordinary Dirichlet series, of which the Riemann zeta function is the most important, play a prominen...
Ordinary Dirichlet series, of which the Riemann zeta function is the most important, play a prominen...
summary:In the paper discrete limit theorems in the sense of weak convergence of probability measure...
We obtain a generalized limit theorem in the sense of weak convergence of probability measures on th...
In the paper a generalized limit theorem in the sense of the weak convergence of probability measure...
For σ>α+β+1, define the function φ(s), s=σ+it, by a polynomial Euler produc...
In the paper, a joint limit theorem in the sense of weak convergence of probability measures on the ...
A limit theorem in the sense of the weak convergence of probability measures on the complex plane fo...
In this article, it is shown that Riemanns zeta function zeta(s) admits two limit representations wh...
In this article, it is shown that Riemanns zeta function zeta(s) admits two limit representations wh...
L functions based on Dirichlet characters are natural generalizations of the Riexnann zeta (s) funct...
The Matsumoto zeta-function is defined by a polynomial Euler product and is a generalization of clas...
This paper examines the Riemann zeta-function and its relation to the prime distribution. In this wo...
This paper examines the Riemann zeta-function and its relation to the prime distribution. In this wo...
One of the most important functions is the Riemann zeta function. For the complexity of zeta functio...
Ordinary Dirichlet series, of which the Riemann zeta function is the most important, play a prominen...
Ordinary Dirichlet series, of which the Riemann zeta function is the most important, play a prominen...
summary:In the paper discrete limit theorems in the sense of weak convergence of probability measure...
We obtain a generalized limit theorem in the sense of weak convergence of probability measures on th...
In the paper a generalized limit theorem in the sense of the weak convergence of probability measure...
For σ>α+β+1, define the function φ(s), s=σ+it, by a polynomial Euler produc...
In the paper, a joint limit theorem in the sense of weak convergence of probability measures on the ...
A limit theorem in the sense of the weak convergence of probability measures on the complex plane fo...
In this article, it is shown that Riemanns zeta function zeta(s) admits two limit representations wh...
In this article, it is shown that Riemanns zeta function zeta(s) admits two limit representations wh...
L functions based on Dirichlet characters are natural generalizations of the Riexnann zeta (s) funct...
The Matsumoto zeta-function is defined by a polynomial Euler product and is a generalization of clas...
This paper examines the Riemann zeta-function and its relation to the prime distribution. In this wo...
This paper examines the Riemann zeta-function and its relation to the prime distribution. In this wo...
One of the most important functions is the Riemann zeta function. For the complexity of zeta functio...
Ordinary Dirichlet series, of which the Riemann zeta function is the most important, play a prominen...
Ordinary Dirichlet series, of which the Riemann zeta function is the most important, play a prominen...