Results 21 to 30 of about 32,945 (273)
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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One estimate related to the periodic zeta-function
Lietuvos Matematikos Rinkinys, 2010 An estimate for the error term of the fourth moment of the periodic zetafunction is obtained.
Sondra Černigova
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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}
A Laurincikas +2 more
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Self-approximation of periodic Hurwitz zeta-functions
Nonlinear Analysis, 2015 Let ζ(s,ω;A) be the periodic Hurwitz zeta-function. We look for real numbers α and β for which there exist "many" real numbers τ such that the shifts ζ(s+iατ,ω;A) and ζ(s+iβτ,ω;A) are "near" each other.
Erikas Karikovas
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Moment problem for the periodic zeta-function
, 2014 Disertacijos tyrimo objektas yra periodinė dzeta funkcija. Mokslinė problema - šios funkcijos momentų problema. Darbo tikslas - įrodyti asimptotines formules periodinės funkcijos momentams bei kai kuriems objektams, susijusiems su šios funkcijos momentais. Darbo uždaviniai yra šie: 1.
Černigova, Sondra,
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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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Approximation of Analytic Functions by Shifts of Certain Compositions
Mathematics, 2021 In the paper, we obtain universality theorems for compositions of some classes of operators in multidimensional space of analytic functions with a collection of periodic zeta-functions.
Darius Šiaučiūnas +2 more
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Mean-periodicity and zeta functions [PDF]
Annales de l'Institut Fourier, 2012 This paper establishes new bridges between zeta functions in number theory and modern harmonic analysis, namely between the class of complex functions, which contains the zeta functions of arithmetic schemes and closed with respect to product and quotient, and the class of mean-periodic functions in several spaces of functions on the real line.
Ivan Fesenko +2 more
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