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math.NT2022
Generalized Balancing and Balancing-Lucas numbers
Hasan Al-Zoubi, Ala'a Al-Kateeb
In this paper, we introduce a generalization of Balancing and Balancing-Lucas numbers. We describe some of their properties also we give the related matrix representation and divis…
math.NT2022
On the number of terms of some families of the ternary cyclotomic polynomials
Ala'a Al-Kateeb, Afnan Dagher
We study the number of non-zero terms in two specific families of ternary cyclotomic polynomial, we find formulas for the number of terms by writing the cyclotomic polynomial as a…