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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.
Tongsomporn, Janyarak +2 more
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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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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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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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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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A WEIGHTED UNIVERSALITY THEOREM FOR PERIODIC ZETA-FUNCTIONS
Mathematical Modelling and Analysis, 2017 The periodic zeta-function ζ(s; a), s = σ + it is defined for σ > 1 by the Dirichlet series with periodic coefficients and is meromorphically continued to the whole complex plane. It is known that the function ζ(s; a), for some sequences a of coefficients, is universal in the sense that its shifts ζ(s + iτ ; a), τ ∈ R, approximate a wide class of ...
Macaitienė, Renata +2 more
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Periods and Igusa Zeta functions
, 2003 12 ...
Belkale, Prakash, Brosnan, Patrick
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Zeta Functions, Periodic Trajectories, and the Conley Index
Journal of Differential Equations, 1995 First the authors give a brief introduction to the Conley index and the technical results which will be used in later discussion. Then the basic results relating to Poincaré sections and Poincaré maps are established. The properties of the suspension sequence are developed and the maps and semiflows with compact attraction are also discussed.
Mccord, C., Mischaikow, K., Mrozek, M.
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Analytic continuation of the doubly-periodic Barnes zeta function [PDF]
Applied Mathematics and Computation, 2013 18 pages, Latex, 3 ...
Fucci, Guglielmo, Kirsten, Klaus
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Ihara Zeta Functions for Periodic Simple Graphs
, 2008 17 pages, 7 figures.
GUIDO, DANIELE +2 more
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