Results 11 to 20 of about 5,615,595 (266)
On the periodic Hurwitz zeta-function. [PDF]
Hardy-Ramanujan Journal, 2006 In this paper, an universality theorem in the Voronin sense for the periodic Hurwitz zeta-function is proved.
Javtokas, A., Laurinčikas, A.
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On the mean square of the periodic zeta-function. II [PDF]
Nonlinear Analysis, 2015 In the paper, the error term in the Atkinson type formula for the periodic zeta-function in the critical strip is considered, and an asymptotic formula for its mean square is obtained. This formula generalizes that proved for the Riemann zeta-function.
Sondra Černigova, Antanas Laurinčikas
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On the mean square for the periodic zeta–function on the critical line
Lietuvos Matematikos Rinkinys, 2001 There is not abstract.
Darius Šiaučiūnas
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Analytic continuation of the doubly-periodic Barnes zeta function [PDF]
Applied Mathematics and Computation, 2013 18 pages, Latex, 3 ...
Klaus Kirsten, Guglielmo Fucci
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A Weighted Discrete Universality Theorem for Periodic Zeta-Functions. II
Mathematical Modelling and Analysis, 2017 In the paper, a weighted theorem on the approximation of a wide class of analytic functions by shifts ζ(s + ikαh; a), k ∈ N, 0 < α < 1, and h > 0, of the periodic zeta-function ζ(s; a) with multiplicative periodic sequence a, is obtained.
Renata Macaitienė +2 more
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On approximation of analytic functions by periodic Hurwitz zeta-functions
Mathematical Modelling and Analysis, 2019 The periodic Hurwitz zeta-function ζ(s, α; a), s = σ +it, with parameter 0 < α ≤ 1 and periodic sequence of complex numbers a = {am } is defined, for σ > 1, by series sum from m=0 to ∞ am / (m+α)s, and can be continued moromorphically to the whole ...
Violeta Franckevič +2 more
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Universality of the Periodic Hurwitz Zeta-Function with Rational Parameter
Siberian Mathematical Journal, 2018 Voronin's theorem from 1975 states that the Riemann zeta function is universal in the sense that its shifts approximate a wide class of analytic functions. More precisely, let \(\mathscr{K}\) be the class of compact subsets of the strip \(D=\left\{s \in \mathbb{C}: \frac{1}{2}
Renata Macaitienė, A Laurincikas
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Moments of the Dedekind zeta function [PDF]
, 2013 We study analytic aspects of the Dedekind zeta function of a Galois extension. Specifically, we are interested in its mean values. In the first part of this thesis we give a formula for the second moment of the Dedekind zeta function of a quadratic ...
Heap, Winston
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On Evaluation of Riemann Zeta function ζ(s) [PDF]
, 2002 In this paper, by using Fourier series theory, several summing formulae for Riemann Zeta function ζ(s) and Dirichlet series are ...
Qi, Feng, Luo, Qiu-Ming, Guo, Bai-Ni
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Universality theorems for zeta-functions with periodic coefficients
Siberian Mathematical Journal, 2016 In a series of works by the author (see for instance [Acta Appl. Math. 78, No. 1--3, 251--271 (2003; Zbl 1038.11059); Izv. Math. 74, No. 3, 515--539 (2010); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 74, No. 3, 79--102 (2010; Zbl 1200.11067)]), the universality in Voronin's sense for the certain zeta-functions with periodic coefficients are ...
A Laurincikas
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