Dirichlet approximation and universal dirichlet series [PDF]
, 2016 We characterize the uniform limits of Dirichlet polynomials on a right half plane. We extend the approximation theorems of Runge,Mergelyan and Vitushkin to the Dirichlet setting with respect to the Euclidean distance and to the chordal one, as well.
Nestoridis, Vassili +4 more
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Generalized Ritt type and generalized Ritt weak type connected growth properties of entire functions represented by vector valued Dirichlet series [PDF]
Sahand Communications in Mathematical Analysis, 2017 In this paper, we introduce the idea of generalized Ritt type and generalised Ritt weak type of entire functions represented by a vector valued Dirichlet series.
Sanjib Kumar Datta +2 more
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Joint weighted limit theorems for general dirichlet series
Mathematical Modelling and Analysis, 2011 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
Lietuvos Matematikos Rinkinys, 2004 There is not abstract.
Jonas Genys
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On Dirichlet series similar to Hadamard compositions in half-plane
Karpatsʹkì Matematičnì Publìkacìï, 2023 Let $F(s)=\sum\limits_{n=1}^{\infty}a_n\exp\{s\lambda_n\}$ and $F_j(s)=\sum\limits_{n=1}^{\infty}a_{n,j}\exp\{s\lambda_n\},$ $j=\overline{1,p},$ be Dirichlet series with exponents $0\le\lambda_n\uparrow+\infty,$ $n\to\infty,$ and the abscissas of ...
A.I. Bandura +2 more
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On a Dirichlet Series Associated with a Polynomial [PDF]
Proceedings of the American Mathematical Society, 1990 Let P ( x ) =
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Borel type asymptotic relation for entire Dirichlet series and $h$-measure of an exceptional sets
Математичні СтудіїThere are presented sufficient conditions for the entire Dirichlet series with monotonically increasing sequence of exponents providing validity of Borel-type relation outside some set $E$ of finite $h$-measure, i.e. $m_h E=\int_E dh(x)
A. O. Kuryliak, T. M. Salo
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Some Results on Harmonic Type Sums
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2020 In this study, we consider the summatory function of convolutions of theMöbius function with harmonic numbers, and we show that these summatoryfunctions are linked to the distribution of prime numbers.
Haydar Göral, Doğa Can Sertbaş
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On the non-randomness of modular arithmetic progressions: a solution to a problem by V. I. Arnold [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We solve a problem by V. I. Arnold dealing with "how random" modular arithmetic progressions can be. After making precise how Arnold proposes to measure the randomness of a modular sequence, we show that this measure of randomness takes a simplified form
Eda Cesaratto +2 more
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Iteration of Composition Operators on small Bergman spaces of Dirichlet series
Concrete Operators, 2018 The Hilbert spaces ℋw consisiting of Dirichlet series F(s)=∑n=1∞ann-s$F(s) = \sum\nolimits_{n = 1}^\infty {{a_n}{n^{ - s}}}$ that satisfty ∑n=1∞|an|2/wn 0 and {wn}n having average order (logj+n)α${(\log _j^ + n)^\alpha }$, that the composition operators ...
Zhao Jing
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