Results 21 to 30 of about 5,484,622 (180)
”Almost” universality of the Lerch zeta-function [PDF]
Mathematical Communications, 2019 The Lerch zeta-function $L(\lambda,\alpha,s)$ with transcendental parameter $\alpha$, or with rational parameters $\alpha$ and $\lambda$ is universal, i.e., a wide class of analytic functions is approximated by shifts $L(\lambda,\alpha,s+i\tau)$, $\tau \in \mathbb{R}$. The case of algebraic irrational $\alpha$ is an open problem.
Laurinčikas, Antanas
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Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function
Abstract and Applied Analysis, 2013 By making use of some explicit relationships between the Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, and Apostol-Frobenius-Euler polynomials of higher order and the generalized Hurwitz-Lerch zeta function as well as a new expansion formula for ...
S. Gaboury, A. Bayad
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On the mean square of the Lerch zeta-function
Lietuvos Matematikos Rinkinys, 1999 There is not abstract.
Antanas Laurinčikas
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A Study of a Certain Subclass of Hurwitz-Lerch-Zeta Function Related to a Linear Operator [PDF]
Abstract and Applied Analysis, 2013 By using a linear operator with Hurwitz-Lerch-Zeta function, which is defined here by means of the Hadamard product (or convolution), the author investigates interesting properties of certain subclasses of meromorphically univalent functions in the ...
F. Ghanim
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Generalizations of the Lerch zeta function. [PDF]
The Lerch zeta function is a three-variable generalization of the Riemann zeta function and the Hurwitz zeta function. In this thesis, we study generalizations and analogues of the Lerch zeta function. Our approaches proceed along three directions: local,
Ngo, Hieu T.
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Aspects of the screw function corresponding to the Riemann zeta‐function
Journal of the London Mathematical Society, Volume 108, Issue 4, Page 1448-1487, October 2023., 2023 Abstract We introduce a screw function corresponding to the Riemann zeta‐function and study its properties from various aspects. Typical results are several equivalent conditions for the Riemann hypothesis in terms of the screw function. One of them can be considered an analog of so‐called Weil's positivity or Li's criterion.
Masatoshi Suzuki
wiley +1 more source
Mechanochemical synthesis and crystal structure evaluation of Na2ZnSnS4
Zeitschrift für anorganische und allgemeine Chemie, Volume 648, Issue 23, December 13, 2022., 2022 Abstract Phase‐pure and highly crystalline Na2ZnSnS4 was prepared via a mechanochemical synthesis route. It crystallizes in the kesterite‐type structure. The unusual large Debye‐Waller factors of the sodium atoms were analyzed in detail, respecting also group‐theoretical aspects.
Eva M. Heppke +2 more
wiley +1 more source
Mathematics, 2021 In this paper, we further study the generating function involving a variety of special numbers and ploynomials constructed by the second author. Applying the Mellin transformation to this generating function, we define a new class of zeta type functions,
Daeyeoul Kim, Yilmaz Simsek
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ON THE ZERO DISTRIBUTIONS OF LERCH ZETA-FUNCTIONS [PDF]
Analysis, 2002 The authors study the distribution of zeros of the Lerch zeta-function \[ L(\lambda,\alpha, s):= \sum^\infty_{n=0} e^{2\pi i\lambda n}(n+\alpha)^{-s}, \] defined by R. Lipschitz in 1857 and further studied by M. Lerch thirty years later, and of its derivative \({\partial\over\partial s} L(\lambda,\alpha, s)\). Let me cite one of the authors' result: If
Garunkštis, Ramūnas, Steuding, Jörn
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