<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

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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

Publié en ligne: 21 févr. 2024

Pages: -

Reçu: 11 juin 2023

Accepté: 24 janv. 2024

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

Mots clés
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

Publié en ligne: 21 févr. 2024

Pages: -

Reçu: 11 juin 2023

Accepté: 24 janv. 2024

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

Mots clésreciprocal, 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

Mots clés
reciprocal, monogenic, septinomial, irreducible