Reciprocal Monogenic Septinomials of Degree 2n3

Lenny Jones

doi:10.2478/amsil-2024-0003

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Reciprocal Monogenic Septinomials of Degree 2n3

Annales Mathematicae Silesianae

Volume 39 (2025): Issue 1 (March 2025)

By: Lenny Jones

Open Access

|Feb 2024

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.

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2024-0003 | Journal eISSN: 2391-4238 (formerly 0860-2107) | Journal ISSN: 0860-2107

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Language: English

Page range: 155 - 169

Submitted on: Jun 11, 2023

Accepted on: Jan 24, 2024

Published on: Feb 21, 2024

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Keywords:

MSC:

11R04,

11R09,

12F05

Related subjects:

Mathematics,

General mathematics

© 2024 Lenny Jones, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 39 (2025): Issue 1 (March 2025)