On monogenity of certain pure number fields defined by x2u.3v-m
In: Acta Scientiarum Mathematicarum, Jg. 88 (2022-12-01), Heft 3-4, S. 581-594
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Zugriff:
Let K=Q(α)be a pure number field generated by a complex root αof a monic irreducible polynomial F(x)=x2u.3v-m, with m≠±1a square free rational integer, u, and vtwo positive integers. In this paper, we study the monogenity of K. The cases u=0and v=0have been previously studied by the first author and Ben Yakkou. We prove that if m≢ 1 (mod 4) and m≢ ±1 (mod 9), then Kis monogenic. But if m≡1(mod 4) or m≡1(mod 9) or u=2and m≡-1(mod 9), then Kis not monogenic. Some illustrating examples are given too.
Titel: |
On monogenity of certain pure number fields defined by x2u.3v-m
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Autor/in / Beteiligte Person: | Fadil, Lhoussain El ; Najim, Ahmed |
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Zeitschrift: | Acta Scientiarum Mathematicarum, Jg. 88 (2022-12-01), Heft 3-4, S. 581-594 |
Veröffentlichung: | 2022 |
Medientyp: | serialPeriodical |
ISSN: | 0001-6969 (print) ; 2064-8316 (print) |
DOI: | 10.1007/s44146-022-00039-6 |
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