Results 51 to 60 of about 10,947 (207)
Meromorphic Dirichlet Series [PDF]
This thesis studies several problems concerning the meromorphic continuation of Dirichlet series to the complex plane. We show that if a Dirichlet series f(s) has a meromorphic continuation to the complex plane and the power series generating function ...
Everlove, Corey
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The multiple Dirichlet product and the multiple Dirichlet series
First, we define the multiple Dirichlet product and study the properties of it. From those properties, we obtain a zero-free region of a multiple Dirichlet series and a multiple Dirichlet series expression of the reciprocal of a multiple Dirichlet ...
Tomokazu Onozuka
core +1 more source
Spaces of Dirichlet series [PDF]
This work is dedicated to the study of multiple Dirichlet series and it focuses on three main aspects: convergence, spaces of bounded multiple Dirichlet series and the composition operators of such spaces.
Castillo Medina, Jaime
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On the transfinite density of sequences and its applications to Dirichlet series
For an increasing to $\infty$ sequence $(\lambda_n)$ of positive numbers let $\displaystyle n(t)=\sum\limits_{\lambda_n\le t}1,\ N(x)=\int\nolimits_{0}^{x}\dfrac{n(t)}{t}dt, \ L_k(t)=\sum\limits_{\lambda_n\le t}\prod\limits_{j=0}^{k-1}\dfrac{1}{\ln_j ...
M. M. Sheremeta
doaj +1 more source
Inequalities for Dirichlet Series with Positive Terms
Some fundamental inequalities for Dirichlet series with positive terms by utilising certain classical results due to Hölder, Čebyšev, Pólya-Szegö, Grüss and others are ...
Cerone, Pietro, Dragomir, Sever S
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The growth of the maximal term of Dirichlet series
Let $\Lambda$ be the class of nonnegative sequences $(\lambda_n)$ increasing to $+\infty$, $A\in(-\infty,+\infty]$, $L_A$ be the class of continuous functions increasing to $+\infty$ on $[A_0,A)$, $(\lambda_n)\in\Lambda$, and $F(s)=\sum a_ne^{s\lambda_n}$
P.V. Filevych, O.B. Hrybel
doaj +1 more source
A semiparametric Bayesian approach to the analysis of financial time series with applications to value at risk estimation [PDF]
Financial time series analysis deals with the understanding of data collected on financial markets. Several parametric distribution models have been entertained for describing, estimating and predicting the dynamics of financial time series ...
Concepción Ausín +2 more
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Dirichlet series and Hardy spaces [PDF]
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Ma. Carme Cascante[en] The aim of this work is to study Dirichlet series, as well as some of the function spaces that they form. We will see
García González, Iker
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On the analytic continuation of Dirichlet series [PDF]
Given a continuable Dirichlet series, having as sequence of exponents { λ
openaire +2 more sources
On zeros of fractional derivatives of Dirichlet series and polynomials [PDF]
In this thesis we apply some of the important concepts of Complex Analysis and Fractional Calculus to several special functions from Analytic Number Theory.
NC DOCKS at The University of North Carolina at Greensboro +1 more
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