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Abstracts of the 13th Annual Meeting of the Israel Society for Neuroscience. Eilat, Israel, November 28-30, 2004. [PDF]
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A discrete universality Theorem for periodic Hurwitz zeta-functions
LAURINCIKAS ANTANAS, MOCHOV DMITRIJ
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Universality of the periodic Hurwitz zeta-function
Integral Transforms and Special Functions, 2006In this article, the universality in the Voronin sense for the Hurwitz zeta-function with periodic coefficients is proved.
A. Javtokas, A. Laurinčikas
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The discrete universality of the periodic Hurwitz zeta function
Integral Transforms and Special Functions, 2009The periodic Hurwitz zeta function , s=σ+it, 0 1, by and by analytic continuation elsewhere. Here {a m } is a periodic sequence of complex numbers. In this paper, a discrete universality theorem for the function with a transcendental parameter α is proved.
A. Laurinčikas, R. Macaitienė
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Functional independence of periodic Hurwitz zeta functions
Mathematical Notes, 2008Given a periodic sequence \({\mathfrak a}:= \{a_m\mid m\in\mathbb Z, m\geq 0\}\) of complex numbers \(a_m\), let \[ \zeta(s,\alpha;{\mathfrak a})= \sum^\infty_{m=0} a_m(m+ \alpha)^{-s}. \] The so-called periodic Hurwitz zeta-function \(s\mapsto \zeta(s,\alpha;{\mathfrak a})\) can be analytically continued to the whole complex plane.
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The joint universality for periodic Hurwitz zeta-functions
Analysis, 2006We prove a joint universality theorem for the Hurwitz zeta-functions with periodic coefficients.
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