Estimates on the number of orbits of the Dyck shift

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...

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Bibliographic Details
Main Authors: Alsharari, Fahad, Md Noorani, Mohd Salmi, Akhadkulov, Habibulla
Format: Article
Language:English
Published: Springer International Publishing 2015
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Online Access:http://repo.uum.edu.my/18737/1/JIA%20%202015%20372%202015%20%201-12.pdf
http://repo.uum.edu.my/18737/
http://doi.org/10.1186/s13660-015-0899-6
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Institution: Universiti Utara Malaysia
Language: English