Rad HAZU, Matematičke znanosti, Vol. 27 (2023), 31-53.

ON THE NUMBER OF TERMS OF SOME FAMILIES OF THE TERNARY CYCLOTOMIC POLYNOMIALS Φ3p2p3

Ala'a Al-Kateeb and Afnan Dagher

Department of Mathematics, Yarmouk University, Jordan
e-mail: alaa.kateeb@yu.edu.jo
e-mail: afnand@yu.edu.jo

Abstract.   We study the number of non-zero terms in two specific families of ternary cyclotomic polynomials. We find formulas for the number of terms by writing the cyclotomic polynomial as a sum of smaller sub-polynomials and study the properties of these polynomials.

2020 Mathematics Subject Classification.   11B83.

Key words and phrases.   Number of terms, cyclotomic polynomials, maximum gap.

Full text (PDF) (free access)

DOI: https://doi.org/10.21857/mjrl3ug1v9

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