Results 101 to 110 of about 850 (200)

A discrete limit theorem for the periodic Hurwitz zeta-function. II

open access: yesLietuvos 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
doaj   +1 more source

Higher Derivatives of the Hurwitz Zeta Function [PDF]

open access: yes, 2011
The Riemann zeta function ζ(s) is one of the most fundamental functions in number theory. Euler demonstrated that ζ(s) is closely connected to the prime numbers and Riemann gave proofs of the basic analytic properties of the zeta function.
Musser, Jason
core   +1 more source

Some Relations of the Twisted q-Genocchi Numbers and Polynomials with Weight α and Weak Weight β

open access: yesAbstract and Applied Analysis, 2012
Recently many mathematicians are working on Genocchi polynomials and Genocchi numbers. We define a new type of twisted q-Genocchi numbers and polynomials with weight 𝛼 and weak weight 𝛽 and give some interesting relations of the twisted q-Genocchi ...
J. Y. Kang, H. Y. Lee, N. S. Jung
doaj   +1 more source

A discrete limit theorem for the periodic Hurwitz zeta-function

open access: yesLietuvos Matematikos Rinkinys, 2015
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
doaj   +1 more source

The Zeta and Related Functions: Recent Developments

open access: yesJournal 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
doaj   +1 more source

Discrete universality theorems for the Hurwitz zeta-function

open access: yesJournal 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
openaire   +2 more sources

Fermions, Skyrmions and the 3-sphere [PDF]

open access: yes, 2009
This paper investigates a background charge one Skyrme field chirally coupled to light fermions on the 3-sphere. The Dirac equation for the system commutes with a generalized angular momentum or grand spin.
Stephen W. Goatham   +3 more
core   +1 more source

Remainder Padé Approximants for the Hurwitz Zeta Function [PDF]

open access: yesResults 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 $ζ(3)$
openaire   +2 more sources

Double Euler Sums on Hurwitz Zeta Functions

open access: yesRocky Mountain Journal of Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eie, Minking, Liaw, Wen-Chin
openaire   +2 more sources

Value distribution of Lerch and periodic Hurwitz Zeta-functions. [PDF]

open access: yes, 2018
In this dissertation the Lerch zeta-function, its derivative and the periodic Hurwitz zeta-function are studied. These functions are generalizations of the famous Riemann zeta-function.
Tamošiūnas, Rokas,
core  

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