Results 11 to 20 of about 116,470 (286)
Direct numerical solutions of the SIR and SEIR models via the Dirichlet series approach [PDF]
PLoS ONE, 2023 Compartment models are implemented to understand the dynamic of a system. To analyze the models, a numerical tool is required. This manuscript presents an alternative numerical tool for the SIR and SEIR models.
Kiattisak Prathom, Asama Jampeepan
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On an entire function represented by multiple Dirichlet series [PDF]
Mathematica Bohemica, 2021 Consider the space $L$ of entire functions represented by multiple Dirichlet series that becomes a non uniformly convex Banach space which is also proved to be dense, countable and separable.
Lakshika Chutani
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Dirichlet approximation and universal Dirichlet series [PDF]
Proceedings of the American Mathematical Society, 2017 We characterize the uniform limits of Dirichlet polynomials on a right half plane. In the Dirichlet setting, we find approximation results, with respect to the Euclidean distance and {to} the chordal one as well, analogous to classical results of Runge, Mergelyan and Vitushkin. We also strengthen the notion of universal Dirichlet series.
Aron, R.M. +4 more
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Discrete universality of absolutely convergent Dirichlet series
Mathematical Modelling and Analysis, 2022 In the paper, an universality theorem of discrete type on the approximation of analytic functions by shifts of a special absolutely convergent Dirichlet series is obtained.
Mindaugas Jasas +3 more
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Dirichlet Series and Convolution Equations
Publications of the Research Institute for Mathematical Sciences, 1988 There are two main methods to study analytic continuation properties of Dirichlet series \[ f(s)=\sum_{n\geq 1}a_ ne^{\lambda_ ns}\quad with\quad finite\quad density, \] i.e., \(n/\lambda_ n=0(1)\). One is due to Hadamard and consists of the use of entire functions \(\gamma\) that interpolate the values \(a_ n\) at the points \(z=\lambda_ n\) (cf ...
Berenstein, C. A., Struppa, Daniele C.
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Wiman type inequalities for entire Dirichlet series with arbitrary exponents [PDF]
Математичні Студії, 2013 We prove analogues ofthe classical Wiman inequality for entire Dirichlet series$f(z)=sum_{n=0}^{+infty}a_ne^{zlambda_n}$ with arbitrary positiveexponents $(lambda_n)$ such that$sup{lambda_ncolon ngeq 0 }=+infty$.
A. O. Kuryliak +2 more
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On certain multiple Dirichlet series [PDF]
, 2019 In this paper we study the analytic properties of a multiple Dirichlet series associated to the prehomogeneous vector space of binary cubic forms.Comment: 21 ...
Lee, Eun Hye, Takloo-Bighash, Ramin
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On absolutely convergent Dirichlet series [PDF]
Proceedings of the American Mathematical Society, 1957 satisfying 1 b,j < oo, if and only if f(s) is bounded away from zero in the half-plane o?0. This discovery amounts to a determination of the spectrum of the Banach-algebra element associated with f(s), and it thus makes available for the theory of ordinary Dirichlet series the well-known theorem of Gelfand on analytic functions of Banach-algebra ...
David A. Edwards
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Limit theorems for random Dirichlet series: boundary case [PDF]
Modern Stochastics: Theory and ApplicationsBuraczewski et al. (2023) proved a functional limit theorem (FLT) and a law of the iterated logarithm (LIL) for a random Dirichlet series ${\textstyle\sum _{k\ge 2}}\frac{{(\log k)^{\alpha }}}{{k^{1/2+s}}}{\eta _{k}}$ as $s\to 0+$, where $\alpha \gt -1/2$
Alexander Iksanov, Ruslan Kostohryz
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STABILITY-PRESERVING PERTURBATION OF THE MAXIMAL TERMS OF DIRICHLET SERIES
Проблемы анализа, 2022 We study stability of the maximal term of the Dirichlet series with positive exponents, the sum of which is an entire function. This problem is of interest, because the Leont’ev formulas for coefficients calculated using a biorthogonal system of ...
A. M. Gaisin, N. N. Aitkuzhina
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