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Value Distribution of General Dirichlet series. VI
In the paper a limit theorem in the sense of weak convergence of probability measures on the complex plane for a new class of general Dirichlet series is obtained.
A. Laurinčikas
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On Joint Distribution of General Dirichlet Series
In the paper a joint limit theorem in the sense of the weak convergence in the space of meromorphic functions for general Dirichlet series is proved under weaker conditions as in [1].
J. Genys, A. Laurinčikas
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Joint weighted limit theorems for general dirichlet series
In the paper,two joint weighted limit theorems in the sense of weak convergence of probability measures on the complex plane for general Dirichlet series are obtained.
Jonas Genys, Antanas Laurinčikas
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On joint universality for general Dirichlet series
There is not abstract.
Jonas Genys
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Fréchet spaces of general Dirichlet series [PDF]
Inspired by a recent article on Fr chet spaces of ordinary Dirichlet series $\sum a_n n^{-s}$ due to J.~Bonet, we study topological and geometrical properties of certain scales of Fr chet spaces of general Dirichlet spaces $\sum a_n e^{- _n s}$. More precisely, fixing a frequency $ = ( _n)$, we focus on the Fr chet space of $ $-Dirichlet series ...
Andreas Defant +3 more
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Vector-valued general Dirichlet series [PDF]
Opened up by early contributions due to, among others, H. Bohr, Hardy-Riesz, Bohnenblust-Hille, Neder and Landau the last 20 years show a substantial revival of systematic research on ordinary Dirichlet series $\sum a_n n^{-s}$, and more recently even on general Dirichlet series $\sum a_n e^{- _n s}$.
Carando, Daniel Germán +3 more
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REGULAR GROWTH OF DIRICHLET SERIES OF THE CLASS 𝐷(Φ) ON CURVES OF BOUNDED 𝐾-SLOPE
We study the asymptotic behavior of the sum of en- tire Dirichlet series with positive exponents on curves of a bounded slope going in a certain way to infinity.
N. N. Aitkuzhina +2 more
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Series with Commuting Terms in Topologized Semigroups
We show that the following general version of the Riemann–Dirichlet theorem is true: if every rearrangement of a series with pairwise commuting terms in a Hausdorff topologized semigroup converges, then its sum range is a singleton.
Alberto Castejón +2 more
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A discrete limit theorem on the complex plane for one class of general Dirichlet series
In the paper a discrete limit theorem in the sense of weak convergence on the complex plane for general Dirichlet series with improved condition is presented.
Renata Macaitienė
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A converse theorem for double Dirichlet series and Shintani zeta functions [PDF]
The main aim of this paper is to obtain a converse theorem for double Dirichlet series and use it to show that the Shintani zeta functions which arise in the theory of prehomogeneous vector spaces are actually linear combinations of Mellin transforms of ...
Diamantis, Nikolaos, Goldfeld, Dorian
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