<abstract xmlns="http://www.w3.org/1999/xhtml">

We prove a new irreducibility criterion for certain septinomials in ℤ[<italic>x</italic>], and we use this result to construct infinite families of reciprocal septinomials of degree 2<italic>n</italic>3 that are monogenic for all <italic>n</italic>≥1.
</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.

Reciprocal Monogenic Septinomials of Degree 2n3

Professor Emeritus Department of Mathematics

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution 4.0 International License.

Reciprocal Monogenic Septinomials of Degree 23

{"article-title":{"content":["Reciprocal Monogenic Septinomials of Degree 2",3],"sup":"n"}}

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...

Reciprocal Monogenic Septinomials of Degree 2ⁿ3

Published Online: Feb 21, 2024

Page range: -

Received: Jun 11, 2023

Accepted: Jan 24, 2024

DOI: https://doi.org/10.2478/amsil-2024-0003

Keywords
reciprocal, monogenic, septinomial, irreducible

© 2023 Lenny Jones, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Reciprocal Monogenic Septinomials of Degree 2n3

Published Online: Feb 21, 2024

Page range: -

Received: Jun 11, 2023

Accepted: Jan 24, 2024

DOI: https://doi.org/10.2478/amsil-2024-0003

Keywordsreciprocal, monogenic, septinomial, irreducible

© 2023 Lenny Jones, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Reciprocal Monogenic Septinomials of Degree 2ⁿ3

Keywords
reciprocal, monogenic, septinomial, irreducible