Results 21 to 30 of about 116,470 (286)
Dirichlet series and series with Stirling numbers
Cubo, 2023 This paper presents a number of identities for Dirichlet series and series with Stirling numbers of the first kind. As coefficients for the Dirichlet series we use Cauchy numbers of the first and second kinds, hyperharmonic numbers, derangement numbers ...
Khristo Boyadzhiev
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Coefficient multipliers on spaces of vector-valued entire Dirichlet series [PDF]
Mathematica Bohemica, 2017 The spaces of entire functions represented by Dirichlet series have been studied by Hussein and Kamthan and others. In the present paper we consider the space $X$ of all entire functions defined by vector-valued Dirichlet series and study the properties ...
Sharma Akanksha, Girja S. Srivastava
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Mathematics, 2022 In this paper, our first purpose is to describe a class of phenomena involving the growth in the Hadamard–Kong product of several Dirichlet series with different growth indices.
Hongyan Xu +5 more
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Journal of New Theory, 2021 This paper aims to define and characterize the relative Gol'dberg order and type of a multiple entire Dirichlet series with respect to another multiple entire Dirichlet series in terms of their coefficients and exponents.
Monalisa Middya
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REGULAR GROWTH OF DIRICHLET SERIES OF THE CLASS 𝐷(Φ) ON CURVES OF BOUNDED 𝐾-SLOPE
Проблемы анализа, 2023 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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Note to the behavior of the maximal term of Dirichlet series absolutely convergent in half-plane
Математичні Студії, 2021 By $S_0(\Lambda)$ denote a class of Dirichlet series $F(s)=\sum_{n=0}^{\infty}a_n\exp\{s\lambda_n\} (s=\sigma+it)$ with an increasing to $+\infty$ sequence $\Lambda=(\lambda_n)$ of exponents ($\lambda_0=0$) and the abscissa of absolute convergence ...
M.M. Sheremeta
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Double Dirichlet series and quantum unique ergodicity of weight 1/2 Eisenstein series [PDF]
, 2014 The problem of quantum unique ergodicity (QUE) of weight 1/2 Eisenstein series for {\Gamma}_0(4) leads to the study of certain double Dirichlet series involving GL2 automorphic forms and Dirichlet characters.
Bailey +9 more
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Journal of Number Theory, 2000 A sequence \(\{u_n\}_{n\geq 0}\) is \(d\)-automatic if its \(n\)-th term can be computed by a finite-state machine using the base \(d\) expansion of the integer \(n\). To such a sequence corresponds a sequence of \(t\)-dimensional vectors \(\{U_n\}_{n\geq 0}\), whose first components give the sequence \(\{u_n\}_{n\geq 0}\), and \(d\) matrices \(A_0,A_1,
Allouche, J.-P +2 more
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On regular variation of entire Dirichlet series
Математичні Студії, 2023 Consider an entire (absolutely convergent in $\mathbb{C}$) Dirichlet series $F$ with the exponents $\lambda_n$, i.e., of the form $F(s)=\sum_{n=0}^\infty a_ne^{s\lambda_n}$, and, for all $\sigma\in\mathbb{R}$, put $\mu(\sigma,F)=\max\{|a_n|e^{\sigma ...
P. V. Filevych, O. B. Hrybel
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Pseudostarlikeness and Pseudoconvexity of Multiple Dirichlet Series
Universal Journal of Mathematics and Applications, 2023 Let $p\in {\Bbb N}$, $s=(s_1,\ldots,s_p)\in {\Bbb C}^p$, $h=(h_1,\ldots,h_p)\in {\Bbb R}^p_+$, $(n)=(n_1,\ldots,n_p)\in {\Bbb N}^p$ and the sequences $\lambda_{(n)}=(\lambda^{(1)}_{n_1},\ldots,\lambda^{(p)}_{n_p})$ are such that $0<\lambda^{(j)}_1 ...
Myroslav Sheremeta
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