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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Official URL https://cs.uwaterloo.ca/journals/JIS/VOL21/Hone/ho... |
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 |
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Subjects: | Q Science > QA Mathematics (inc Computing science) |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Depositing User: | Andrew Hone |
Date Deposited: | 10 Oct 2018 14:15 UTC |
Last Modified: | 16 Feb 2021 13:58 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/69496 (The current URI for this page, for reference purposes) |
Hone, Andrew N.W.: | ![]() |
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