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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2024-02-01
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| Series: | Annales Mathematicae Silesianae |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amsil-2024-0003 |
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| Summary: | 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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| ISSN: | 2391-4238 |