10 citations · 13 across the 3 of their papers we have counts for
4 papers
A Generalization of Jacobsthal and Jacobsthal-Lucas numbers
Alaa Al-Kateeb
In this paper, we study a generalization of Jacobsthal and Jacobsthal-Lucas numbers, we find their generating function binet formulas, related matrix representation and many other…
Maximum gap in cyclotomic polynomials
Ala'a Al-Kateeb, Mary Ambrosino, Hoon Hong +1
Cyclotomic polynomials play fundamental roles in number theory, combinatorics, algebra and their applications. Hence their properties have been extensively investigated. In this pa…
An Encoding-Decoding algorithm based on Padovan numbers
Jenan Shtayat, Alaa Al-Kateeb
In this paper, we propose a new of coding/decoding algorithm using Padovan Q-matrices. This method is based on blocked message matrices. an advantage of this method is that the enc…
Explicit expression for a family of ternary cyclotomic polynomials
Ala'a Al-Kateeb, Hoon Hong, Eunjeong Lee
In this paper, we give an explicit expression for a certain family of ternary cyclotomic polynomials: specifically , where are odd primes s…