The sufficient and necessary conditions for a weak convergence of distributions of a set of strongly additive functions fx, x > 2, the arguments of which run through shifted primes, to the discrete uniform law are obtained. The case when fx(p) 2 f0; 1g for every prime p is considered
For σ>α+β+1, define the function φ(s), s=σ+it, by a polynomial Euler produc...
Abstract. In this paper, we consider approximating expansions for the distribution of integer valued...
AbstractThis paper studies discretely uniform approximation of continuous functions and the associat...
In the dissertation it is considered the weak convergence of the distributions of additive functions...
In the dissertation it is considered the weak convergence of the distributions of additive functions...
The sufficient and necessary conditions for a weak convergence of distributions of a set of str...
We consider a class of discrete distribution functions, whose characteristic functions are separated...
A weighted discrete limit theorem Summary Let the function w(x) be defined for all x>2, WN=N∑k...
SummaryIn this report sufficient conditions are derived for the implication F1(x)≤ F2(x)⇒F1(x-j)≤ F2...
Some finitely additive uniform limit theorems, which do not need the strategic setting, are provide
SUMMARY. It is well known that the distribution of a real valued additive arithmetic function f, if ...
Some finitely additive uniform limit theorems, which do not need the strategic setting, are provide
Let θ(t) denote the increment of the argument of the product π−s/2Γ(s/2) along the segment connectin...
If X1,X2,...,Xn are independent and identically distributed discrete random variables and Mn = max(X...
summary:In the paper discrete limit theorems in the sense of weak convergence of probability measure...
For σ>α+β+1, define the function φ(s), s=σ+it, by a polynomial Euler produc...
Abstract. In this paper, we consider approximating expansions for the distribution of integer valued...
AbstractThis paper studies discretely uniform approximation of continuous functions and the associat...
In the dissertation it is considered the weak convergence of the distributions of additive functions...
In the dissertation it is considered the weak convergence of the distributions of additive functions...
The sufficient and necessary conditions for a weak convergence of distributions of a set of str...
We consider a class of discrete distribution functions, whose characteristic functions are separated...
A weighted discrete limit theorem Summary Let the function w(x) be defined for all x>2, WN=N∑k...
SummaryIn this report sufficient conditions are derived for the implication F1(x)≤ F2(x)⇒F1(x-j)≤ F2...
Some finitely additive uniform limit theorems, which do not need the strategic setting, are provide
SUMMARY. It is well known that the distribution of a real valued additive arithmetic function f, if ...
Some finitely additive uniform limit theorems, which do not need the strategic setting, are provide
Let θ(t) denote the increment of the argument of the product π−s/2Γ(s/2) along the segment connectin...
If X1,X2,...,Xn are independent and identically distributed discrete random variables and Mn = max(X...
summary:In the paper discrete limit theorems in the sense of weak convergence of probability measure...
For σ>α+β+1, define the function φ(s), s=σ+it, by a polynomial Euler produc...
Abstract. In this paper, we consider approximating expansions for the distribution of integer valued...
AbstractThis paper studies discretely uniform approximation of continuous functions and the associat...
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