Add to ORKGIn this article we study the interplay of the theory of classical Dirichlet series in one complex variable with recent development on monomial expansions of holomorphic functions in infinitely many variables. For a given Dirichlet series we obtain new strips of convergence in the complex plane related to Bohr's classical strips of uniform but non absolute convergence
Let a = {am : m ∈ N} be a periodic multiplicative sequence of complex numbers and L(s; a), s = σ + i...
International audienceGiven a frequency $\lambda$, we study general Dirichlet series $\sum a_n e^{-\...
Properties of one class of Dirichlet series Let $s=\sigma+it$ be a complex variable, and ${a}_{m}$ b...
[EN] Each Dirichlet series D=∑∞n=1an1nsD=∑n=1∞an1ns, with variable s∈Cs∈C and coefficients an∈Can∈C,...
The Bohr-Bohnenblust-Hille theorem states that the largest possible width $S$ of the strip in the c...
The paper deals with an extension theorem by Costakis and Vlachou on simultaneous approximation for ...
The paper deals with an extension theorem by Costakis and Vlachou on simultaneous approximation for ...
We establish the central convergence properties of ordinary Dirichlet series, including the classica...
PUBLISHED BY mathematical sciences publishers nonprofit scientific publishing http://msp.org/ © ...
In this paper a study is made of the asymptotic representation, by sums of exponentials of the form ...
A Hilbert space of Dirichlet series is obtained by considering the Dirichlet series f(s) = Sigma(n=1...
[EN] Let H-infinity be the set of all ordinary Dirichlet series D = Sigma(n) a(n)(n-1) ann-s represe...
In the paper a limit theorem in the sense of weak convergence of probability measures on the complex...
This paper establishes connections between the boundary behaviour of functions representable as abso...
Using contemporary concepts, this book describes the interaction between Dirichlet series and holomo...
Let a = {am : m ∈ N} be a periodic multiplicative sequence of complex numbers and L(s; a), s = σ + i...
International audienceGiven a frequency $\lambda$, we study general Dirichlet series $\sum a_n e^{-\...
Properties of one class of Dirichlet series Let $s=\sigma+it$ be a complex variable, and ${a}_{m}$ b...
[EN] Each Dirichlet series D=∑∞n=1an1nsD=∑n=1∞an1ns, with variable s∈Cs∈C and coefficients an∈Can∈C,...
The Bohr-Bohnenblust-Hille theorem states that the largest possible width $S$ of the strip in the c...
The paper deals with an extension theorem by Costakis and Vlachou on simultaneous approximation for ...
The paper deals with an extension theorem by Costakis and Vlachou on simultaneous approximation for ...
We establish the central convergence properties of ordinary Dirichlet series, including the classica...
PUBLISHED BY mathematical sciences publishers nonprofit scientific publishing http://msp.org/ © ...
In this paper a study is made of the asymptotic representation, by sums of exponentials of the form ...
A Hilbert space of Dirichlet series is obtained by considering the Dirichlet series f(s) = Sigma(n=1...
[EN] Let H-infinity be the set of all ordinary Dirichlet series D = Sigma(n) a(n)(n-1) ann-s represe...
In the paper a limit theorem in the sense of weak convergence of probability measures on the complex...
This paper establishes connections between the boundary behaviour of functions representable as abso...
Using contemporary concepts, this book describes the interaction between Dirichlet series and holomo...
Let a = {am : m ∈ N} be a periodic multiplicative sequence of complex numbers and L(s; a), s = σ + i...
International audienceGiven a frequency $\lambda$, we study general Dirichlet series $\sum a_n e^{-\...
Properties of one class of Dirichlet series Let $s=\sigma+it$ be a complex variable, and ${a}_{m}$ b...