Results 101 to 110 of about 850 (200)
A discrete limit theorem for the periodic Hurwitz zeta-function. II
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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Higher Derivatives of the Hurwitz Zeta Function [PDF]
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
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Some Relations of the Twisted q-Genocchi Numbers and Polynomials with Weight α and Weak Weight β
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
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A discrete limit theorem for the periodic Hurwitz zeta-function
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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The Zeta and Related Functions: Recent Developments
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
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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Fermions, Skyrmions and the 3-sphere [PDF]
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
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Remainder Padé Approximants for the Hurwitz Zeta Function [PDF]
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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eie, Minking, Liaw, Wen-Chin
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Value distribution of Lerch and periodic Hurwitz Zeta-functions. [PDF]
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,
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