Estimates on the number of orbits of the Dyck shift

Fahad Alsharari, Mohd. Salmi Md. Noorani, Habibulla Akhadkulov

Research output: Contribution to journalArticle

1 Citation (Scopus)

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.

Original languageEnglish
Article number372
Pages (from-to)1-12
Number of pages12
JournalJournal of Inequalities and Applications
Volume2015
Issue number1
DOIs
Publication statusPublished - 1 Dec 2015

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Orbits
Orbit
Theorem
Estimate
Closed Orbit
Dirichlet Series
Direct Method

Keywords

  • closed orbits
  • dynamical analogs
  • the Dyck shift

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

Cite this

Estimates on the number of orbits of the Dyck shift. / Alsharari, Fahad; Md. Noorani, Mohd. Salmi; Akhadkulov, Habibulla.

In: Journal of Inequalities and Applications, Vol. 2015, No. 1, 372, 01.12.2015, p. 1-12.

Research output: Contribution to journalArticle

Alsharari, Fahad ; Md. Noorani, Mohd. Salmi ; Akhadkulov, Habibulla. / Estimates on the number of orbits of the Dyck shift. In: Journal of Inequalities and Applications. 2015 ; Vol. 2015, No. 1. pp. 1-12.
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