Alsharari, Fahad and Md Noorani, Mohd Salmi and Akhadkulov, Habibulla (2015) Estimates on the number of orbits of the Dyck shift. Journal of Inequalities and Applications, 2015 (1). pp. 1-12. ISSN 1029-242X

Preview

PDF Available under License ["licenses_description_cc4_by_sa" not defined]. Download (1MB) | Preview

Abstract

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.

Item Type:	Article
Uncontrolled Keywords:	the Dyck shift - closed orbits - dynamical analogs
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:	School of Quantitative Sciences
Depositing User:	Mrs. Norazmilah Yaakub
Date Deposited:	04 Oct 2016 03:45
Last Modified:	04 Oct 2016 03:45
URI:	https://repo.uum.edu.my/id/eprint/18737

Actions (login required)

View Item