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On a Family of Sequences Related to Chebyshev Polynomials

Hone, Andrew N.W., Jeffery, L. Edson, Selcoe, Robert G. (2018) On a Family of Sequences Related to Chebyshev Polynomials. Journal of Integer Sequences, 21 . 18.7.2. ISSN 1530-7638. (KAR id:69496)

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Abstract

We consider the appearance of primes in a family of linear recurrence sequences

class of Lehmer numbers, or (viewing them as polynomials in n) dilated versions of the

We prove that when the value of n is given by a dilated Chebyshev polynomial of the

infinitely many primes, whose distribution has analogous properties to the distribution

the sequences associated with negative integers n, which correspond to Chebyshev

polynomials of the third kind, and to another family of Lehmer numbers.

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Andrew Hone
Date Deposited: 10 Oct 2018 14:15 UTC
Last Modified: 29 May 2019 21:16 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/69496 (The current URI for this page, for reference purposes)
Hone, Andrew N.W.: https://orcid.org/0000-0001-9780-7369
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