Results 21 to 30 of about 5,615,595 (266)
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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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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Moment problem for the periodic zeta-function [PDF]
, 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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Joint discrete approximation of a pair of analytic functions by periodic zeta-functions
Mathematical Modelling and Analysis, 2020 In the paper, the problem of simultaneous approximation of a pair of analytic functions by a pair of discrete shifts of the periodic and periodic Hurwitz zeta-function is considered. The above shifts are defined by using the sequence of imaginary parts of
Aidas Balčiūnas +5 more
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Joint universality of periodic zeta-functions with multiplicative coefficients
Nonlinear Analysis, 2020 The periodic zeta-function is defined by the ordinary Dirichlet series with periodic coefficients. In the paper, joint universality theorems on the approximation of a collection of analytic functions by nonlinear shifts of periodic zeta-functions with ...
Antanas Laurinčikas, Monika Tekorė
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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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The holomorphic flow of the Riemann zeta function [PDF]
, 2003 The flow of the Riemann zeta function, ś = ς(s), is considered, and phase portraits are presented. Attention is given to the characterization of the flow lines in the neighborhood of the first 500 zeros on the critical line.
Barnett, A. Ross, Broughan, Kevin A.
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Joint universality of periodic zeta-functions with multiplicative coefficients. II
Nonlinear Analysis, 2021 In the paper, a joint discrete universality theorem for periodic zeta-functions with multiplicative coefficients on the approximation of analytic functions by shifts involving the sequence f kg of imaginary parts of nontrivial zeros of the Riemann zeta ...
Antanas Laurinčikas +2 more
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