Results 41 to 50 of about 10,947 (207)
Illinois Journal of Mathematics, 1960 The work on this paper was done shortly before the author's untimely death in 1957. The editor states that ``while the paper is largely expository and while the principal object of the author was not achieved, the material discussed is significant and seems worth presenting to the mathematical public in order to stimulate further research.'' Suppose ...
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The growth of a class of random Dirichlet series on the horizontal zone [PDF]
, 2012 summary:In the paper we obtain that, under some condition, the Rademacher-Dirichlet series or the Steinhaus-Dirichlet series on the whole plane and on the horizontal zone almost surely have the same ...
Gu, Zhendong, Sun, Daochun
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Lower Bounds for Absolutely Convergent Dirichlet Series and Pits Property
AxiomsThis article investigates the lower bounds of analytic functions defined by absolutely convergent Dirichlet series in the left half-plane and establishes conditions under which such functions exhibit the pits property. The study extends classical results
Andriy Bandura +4 more
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Growth estimates for the maximal term and central exponent of the derivative of a Dirichlet series
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $A\in(-\infty,+\infty]$, $\Phi:[a,A)\to\mathbb{R}$ be a continuous function such that $x\sigma-\Phi(\sigma)\to-\infty$ as $\sigma\uparrow A$ for every $x\in\mathbb{R}$, $\widetilde{\Phi}(x)=\max\{x\sigma -\Phi(\sigma):\sigma\in [a,A)\}$ be the Young ...
S.I. Fedynyak, P.V. Filevych
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On entire Dirichlet series similar to Hadamard compositions
Математичні Студії, 2023 A function $F(s)=\sum_{n=1}^{\infty}a_n\exp\{s\lambda_n\}$ with $0\le\lambda_n\uparrow+\infty$ is called the Hadamard composition of the genus $m\ge 1$ of functions $F_j(s)=\sum_{n=1}^{\infty}a_{n,j}\exp\{s\lambda_n\}$ if $a_n=P(a_{n,1},...,a_{n,p ...
O.M. Mulyava, M. M. Sheremeta
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Value Distribution of General Dirichlet series. VI
Nonlinear Analysis, 2005 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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Dirichlet product and the multiple Dirichlet series over function fields
, 2020 We define the Dirichlet product for multiple arithmetic functions over function fields and consider the ring of the multiple Dirichlet series over function fields.
Hamahata, Yoshinori, Yoshinori Hamahata
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On Joint Distribution of General Dirichlet Series
Nonlinear Analysis, 2003 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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The Multiplication Problem for Dirichlet Series [PDF]
Proceedings of the American Mathematical Society, 1958 1. P. Erdos and S. J. Taylor, On the set of points of convergence of a lacunary trigonometric series and the equidistribution properties of related sequences, Proc. London Math. Soc. (2) vol. 7 (1957) pp. 598-615. 2. C. S. Herz, The Bohr spectrum of bounded functions, Bull. Amer. Math. Soc. vol. 62 (1955) p. 76. 3. H.
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Functional equation of a special Dirichlet series
International Journal of Mathematics and Mathematical Sciences, 1987 In this paper we study the special Dirichlet series L(s)=23∑n=1∞sin(2πn3)n−s, s∈C This series converges uniformly in the half-plane Re(s)>1 and thus represents a holomorphic function there.
Ibrahim A. Abou-Tair
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