Results 1 to 10 of about 4,047,385 (205)
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
doaj +3 more sources
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 Vituškin. We also strengthen the notion of universal Dirichlet series.
Aron, R.M. +4 more
openaire +5 more sources
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 ...
A. Fritzsche, Emre İmamoğlu
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Isometries between spaces of multiple Dirichlet series
Journal of Mathematical Analysis and Applications, 2019 In this paper we study spaces of multiple Dirichlet series and their properties. We set the ground of the theory of multiple Dirichlet series and define the spaces H ∞ ( C + k ) , k ∈ N , of convergent and bounded multiple Dirichlet series on C + k .
Manuel Maestre +2 more
exaly +2 more sources
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
exaly +3 more sources
Real zeros of random Dirichlet series [PDF]
Electronic Communications in Probability, 2019 Let $F(\sigma)$ be the random Dirichlet series $F(\sigma)=\sum_{p\in\mathcal{P}} \frac{X_p}{p^\sigma}$, where $\mathcal{P}$ is an increasing sequence of positive real numbers and $(X_p)_{p\in\mathcal{P}}$ is a sequence of i.i.d.
Marco Aymone
exaly +2 more sources
Semigroups of composition operators on Hardy spaces of Dirichlet series [PDF]
Journal of Functional Analysis, 2022 We consider continuous semigroups of analytic functions $\{\Phi_t\}_{t\geq0}$ in the so-called Gordon-Hedenmalm class $\mathcal{G}$, that is, the family of analytic functions $\Phi:\mathbb C_+\to \mathbb C_+$ giving rise to bounded composition operators ...
Manuel D. Contreras +2 more
semanticscholar +1 more source
Composition operators on weighted Hilbert spaces of Dirichlet series [PDF]
Journal of the London Mathematical Society, 2022 We study composition operators of characteristic zero on weighted Hilbert spaces of Dirichlet series. For this purpose, we demonstrate the existence of weighted mean counting functions associated with the Dirichlet series symbol, and provide a ...
A. Kouroupis, Karl-Mikael Perfekt
semanticscholar +1 more source
Limit theorems for random Dirichlet series [PDF]
Stochastic Processes and their Applications, 2022 We prove a functional limit theorem in a space of analytic functions for the random Dirichlet series $D(\alpha;z)=\sum_{n\geq 2}(\log n)^{\alpha}(\eta_n+{\rm i} \theta_n)/n^z$, properly scaled and normalized, where $(\eta_n,\theta_n)_{n\in\mathbb{N}}$ is
D. Buraczewski +3 more
semanticscholar +1 more source
On the Epstein zeta function and the Zeros of a Class of Dirichlet series [PDF]
Journal of Mathematical Analysis and Applications, 2021 By generalizing the classical Selberg-Chowla formula, we establish the analytic continuation and functional equation for a large class of Epstein zeta functions.
P. Ribeiro, S. Yakubovich
semanticscholar +1 more source