Results 1 to 10 of about 5,267 (152)
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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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 universality for general Dirichlet series
There is not abstract.
Jonas Genys
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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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Fréchet spaces of general Dirichlet series [PDF]
Inspired by a recent article on Fréchet spaces of ordinary Dirichlet series $\sum a_n n^{-s}$ due to J.~Bonet, we study topological and geometrical properties of certain scales of Fréchet spaces of general Dirichlet spaces $\sum a_n e^{-λ_n s}$. More precisely, fixing a frequency $λ= (λ_n)$, we focus on the Fréchet space of $λ$-Dirichlet series which ...
Andreas Defant +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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The generating function for the Dirichlet series 𝐿ₘ(𝑠) [PDF]
The Dirichlet series L m ( s )
William Y. C. Chen +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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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 $\sum a_n e^{-λ_n s}$.
Daniel Carando +3 more
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