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Estimates on the number of orbits of the Dyck shift
Journal article   Open access  Peer reviewed

Estimates on the number of orbits of the Dyck shift

Fahad Alsharari, Mohd Salmi Md Noorani and Habibulla Akhadkulov
Journal of inequalities and applications, Vol.2015(1), pp.1-12
02/12/2015
DOI: https://doi.org/10.1186/s13660-015-0899-6

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we get crucial estimates of fundamental sums that involve the number of closed orbits of the Dyck shift. These estimates are given as the prime orbit theorem, Mertens' orbit theorem, Meissel's orbit theorem and Dirichlet series. Different and more direct methods are used in the proofs without any complicated theoretical discussions.
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https://doi.org/10.1186/s13660-015-0899-6View
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