Results 91 to 100 of about 5,225,855 (149)
A discrete limit theorem for the periodic Hurwitz zeta-function. II
Lietuvos Matematikos Rinkinys, 2016 In the paper, we prove a limit theorem of discrete type on the weak convergence of probability measures on the complex plane for the periodic Hurwitz zeta-function.
Audronė Rimkevičienė
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Functional equations for zeta functions of groups and rings [PDF]
, 2010 We introduce a new method to compute explicit formulae for various zeta functions associated to groups and rings. The specific form of these formulae enables us to deduce local functional equations. More precisely, we prove local functional equations for
Voll, C., Voll, Christopher
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The Zeta and Related Functions: Recent Developments
Journal of Advanced Engineering and Computation, 2019 The main object of this survey-cum-expository article is to present an overview of some recent developments involving the Riemann Zeta function ζ(s), the Hurwitz (or generalized) Zeta function ζ(s, a), and the Hurwitz-Lerch Zeta function Φ(z, s, a ...
H. M. Srivastava
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Discrete universality theorems for the Hurwitz zeta-function
Journal of Approximation Theory, 2014 Denote by \(\zeta(s, \alpha)\) the Hurwitz zeta function where as usual \(s = \sigma + it \in\mathbb{C}\) and \(0 < \alpha\leq 1\). Let \(D := \{s\in \mathbb{C}: \frac12 < \sigma < 1\}\) and denote by \(H(D)\) the space of analytic functions on \(D\) endowed with the topology of uniform convergence.
Eugenijus Buivydas +3 more
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Remainder Padé Approximants for the Hurwitz Zeta Function [PDF]
Results in Mathematics, 2019 Following our earlier research, we use the method introduced by the author in \cite{prevost1996} named Remainder Padé Approximant in \cite{rivoalprevost}, to construct approximations of the Hurwitz zeta function. We prove that these approximations are convergent on the positive real line. Applications to new rational approximations of $ζ(2)$ and $ζ(3)$
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Double Euler Sums on Hurwitz Zeta Functions
Rocky Mountain Journal of Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eie, Minking, Liaw, Wen-Chin
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A probability distribution associated with the Hurwitz zeta function [PDF]
Proceedings of the American Mathematical Society, 1987 A new discrete probability distribution is defined in terms of the Hurwitz zeta function and its relationship to the Poisson distribution is demonstrated.
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Moments of the Hurwitz zeta function on the critical line
, 2023 The Hurwitz zeta function is a shifted integer analogue of the Riemann zeta function, for shift parameters 0\u3c α ≤ 1. We consider the integral moments of the Hurwitz zeta function on the critical line ℛ(s)=½. We will focus on rational shift parameters.
Sahay, Anurag
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Generalized Cosecant Numbers and the Hurwitz Zeta Function
Integers, 2017 This announcement paper summarises recent development concerning the generalized cosecant numbers $c_{ρ,k}$, which represent the coefficients of the power series expansion for the important fundamental function $z^ρ/\sin^ρ z$. These coefficients are obtained for all, including complex, values of $ρ$ via the partition method for a power series expansion,
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Universality theorems for the periodic Hurwitz zeta-function. [PDF]
, 2018 The periodic Hurwitz zeta-function is a generalization of the classical Hurwitz zeta-function. It is defined by the Dirichlet series depending on a fixed parameter with periodic coefficients.
Mochov, Dmitrij,
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