Add to ORKGIn this paper we investigate the problem of the convergence of a very special kind of non absolutely convergent series which can not be solved by means of traditional tests as Dirichlet test
We establish the central convergence properties of ordinary Dirichlet series, including the classica...
AbstractThe purpose of this work is to introduce new types of sequences, whose terms are infinite se...
Two counterexamples, addressing questions raised in cite{AD} and cite{PZ}, are provided. Both counte...
AbstractAnalyzing several classical tests for convergence/divergence of number series, we relax the ...
We construct two adjacent sequences that converge to the sum of a given convergent p-series. In case...
Mathematicians are very interested in prime numbers. In this snapshot, we will discuss some problems...
We devise a new test for convergence or divergence of an infinite series — the Power Mean Test. We e...
We generalize the classical Olivier's theorem which says that for any convergent series $\sum_n a_n$...
For any positive decreasing to zero sequence a_n such that Ʃa_n diverges we consider the related ser...
Introduction and Examples One of the most important examples in the study of infinite series is the ...
summary:In this paper we use the notion of statistical convergence of infinite series naturally intr...
summary:In this paper we use the notion of statistical convergence of infinite series naturally intr...
Hartman proved in 1939 that the width of the largest possible strip in the complex plane on which a ...
This paper studies the limit behaviour of sums of the form Tn(x)=∑1≤j≤nckj(x),(n=1,2,…)where (cj(x))...
AbstractThe point source of this work is Seleznev's theorem which asserts the existence of a power s...
We establish the central convergence properties of ordinary Dirichlet series, including the classica...
AbstractThe purpose of this work is to introduce new types of sequences, whose terms are infinite se...
Two counterexamples, addressing questions raised in cite{AD} and cite{PZ}, are provided. Both counte...
AbstractAnalyzing several classical tests for convergence/divergence of number series, we relax the ...
We construct two adjacent sequences that converge to the sum of a given convergent p-series. In case...
Mathematicians are very interested in prime numbers. In this snapshot, we will discuss some problems...
We devise a new test for convergence or divergence of an infinite series — the Power Mean Test. We e...
We generalize the classical Olivier's theorem which says that for any convergent series $\sum_n a_n$...
For any positive decreasing to zero sequence a_n such that Ʃa_n diverges we consider the related ser...
Introduction and Examples One of the most important examples in the study of infinite series is the ...
summary:In this paper we use the notion of statistical convergence of infinite series naturally intr...
summary:In this paper we use the notion of statistical convergence of infinite series naturally intr...
Hartman proved in 1939 that the width of the largest possible strip in the complex plane on which a ...
This paper studies the limit behaviour of sums of the form Tn(x)=∑1≤j≤nckj(x),(n=1,2,…)where (cj(x))...
AbstractThe point source of this work is Seleznev's theorem which asserts the existence of a power s...
We establish the central convergence properties of ordinary Dirichlet series, including the classica...
AbstractThe purpose of this work is to introduce new types of sequences, whose terms are infinite se...
Two counterexamples, addressing questions raised in cite{AD} and cite{PZ}, are provided. Both counte...