Reciprocal monogenic septinomials of degree 2^n3

Lenny Jones
https://orcid.org/0000-0001-7661-4226


Abstract

We prove a new irreducibility criterion for certain septinomials in ℤ[x], and we use this result to construct infinite families of reciprocal septinomials of degree 2n3 that are monogenic for all n ≥ 1.


Keywords

reciprocal; monogenic; septinomial; irreducible

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Published : 2024-02-21


JonesL. (2024). Reciprocal monogenic septinomials of degree 2^n3. Annales Mathematicae Silesianae. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/17123

Lenny Jones  lkjone@ship.edu
Department of Mathematics, Shippensburg University  United States
https://orcid.org/0000-0001-7661-4226



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