Reciprocal Monogenic Septinomials of Degree 2n3
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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| Format: | Article |
| Language: | English |
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Sciendo
2024-02-01
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| Series: | Annales Mathematicae Silesianae |
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| Online Access: | https://doi.org/10.2478/amsil-2024-0003 |
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| _version_ | 1849310467905814528 |
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| author | Jones Lenny |
| author_facet | Jones Lenny |
| author_sort | Jones Lenny |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e6a308fa30d149aea8755a9f05da25e4 |
| institution | Kabale University |
| issn | 2391-4238 |
| language | English |
| publishDate | 2024-02-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annales Mathematicae Silesianae |
| spelling | doaj-art-e6a308fa30d149aea8755a9f05da25e42025-08-20T03:53:42ZengSciendoAnnales Mathematicae Silesianae2391-42382024-02-0139115516910.2478/amsil-2024-0003Reciprocal Monogenic Septinomials of Degree 2n3Jones Lenny0Professor Emeritus, Department of Mathematics, Shippensburg University, Shippensburg, Pennsylvania17257USAWe 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.https://doi.org/10.2478/amsil-2024-000311r0411r0912f05reciprocalmonogenicseptinomialirreducible |
| spellingShingle | Jones Lenny Reciprocal Monogenic Septinomials of Degree 2n3 Annales Mathematicae Silesianae 11r04 11r09 12f05 reciprocal monogenic septinomial irreducible |
| title | Reciprocal Monogenic Septinomials of Degree 2n3 |
| title_full | Reciprocal Monogenic Septinomials of Degree 2n3 |
| title_fullStr | Reciprocal Monogenic Septinomials of Degree 2n3 |
| title_full_unstemmed | Reciprocal Monogenic Septinomials of Degree 2n3 |
| title_short | Reciprocal Monogenic Septinomials of Degree 2n3 |
| title_sort | reciprocal monogenic septinomials of degree 2n3 |
| topic | 11r04 11r09 12f05 reciprocal monogenic septinomial irreducible |
| url | https://doi.org/10.2478/amsil-2024-0003 |
| work_keys_str_mv | AT joneslenny reciprocalmonogenicseptinomialsofdegree2n3 |