10 citations · 16 across the 7 of their papers we have counts for
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math.NT2019★ 3 cited
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…
math.NT2019
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…
cs.IT2019★ 10 cited
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…