Results 11 to 20 of about 4,308 (243)
Analytic continuation of the doubly-periodic Barnes zeta function [PDF]
Applied Mathematics and Computation, 2013 18 pages, Latex, 3 ...
Klaus Kirsten, Guglielmo Fucci
exaly +3 more sources
On the mean square for the periodic zeta–function on the critical line
Lietuvos Matematikos Rinkinys, 2001 There is not abstract.
Darius Šiaučiūnas
doaj +6 more sources
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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A discrete version of the Mishou theorem related to periodic zeta-functions
Mathematical Modelling and AnalysisIn the paper, we consider simultaneous approximation of a pair of analytic functions by discrete shifts and of the absolutely convergent Dirichlet series connected to the periodic zeta-function with multiplicative sequence a, and the periodic Hurwitz ...
Aidas Balčiūnas +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 +2 more
exaly +2 more sources
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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The Values of the Periodic Zeta-Function at the Nontrivial Zeros of Riemann’s Zeta-Function [PDF]
Symmetry, 2021 In this paper, we prove an asymptotic formula for the sum of the values of the periodic zeta-function at the nontrivial zeros of the Riemann zeta-function (up to some height) which are symmetrical on the real line and the critical line. This is an extension of the previous results due to Garunkštis, Kalpokas, and, more recently, Sowa.
Janyarak Tongsomporn +2 more
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On Zeros of Periodic Zeta Functions [PDF]
Ukrainian Mathematical Journal, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Laurin??ikas, A., ??iau??i??nas, D.
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Periods and Lefschetz zeta functions [PDF]
Pacific Journal of Mathematics, 1994 The object of this paper is to prove the following result: If \(f : M \to M\) is a transversal map on a compact manifold whose Lefschetz zeta function \(Z_ f(t)\) has all its poles and zeros equal to roots of unity, and if \(Z_ f(t)\) has an irreducible factor of the form \((1 \pm t^ n)^{\pm 1}\), then (a) \(n\) is a periodic point of \(f\) if \(n\) is
Casasayas, Josefina +2 more
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