Zobrazeno 1 - 9 of 9 pro vyhledávání: '"Hamid Ben Yakkou"'
1
Akademický článek
On monogenity of certain pure number fields of degrees $2^r\cdot3^k\cdot7^s$
Autor: Hamid Ben Yakkou, Jalal Didi
Publikováno v: Mathematica Bohemica, Vol 149, Iss 2, Pp 167-183 (2024)
Let $K = \mathbb{Q} (\alpha) $ be a pure number field generated by a complex root $\alpha$ of a monic irreducible polynomial $ F(x) = x^{2^r\cdot3^k\cdot7^s} -m \in\bb{Z}[x]$, where $r$, $k$, $s$ are three positive natural integers. The purpose of th
Externí odkaz: https://doaj.org/article/eda0a03543e34daaad2f38aec24c3f73
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2
Akademický článek
The On power integral bases of certain pure number fields defined by $x^{120}-m $
Autor: Jalal Didi, Hamid Ben Yakkou
Publikováno v: Boletim da Sociedade Paranaense de Matemática, Vol 42 (2024)
Let $K$ be a pure number field with $\alpha$ a complex root of a monic irreducible polynomial $F(x) = x^{120}-m \in \mathbb{Z}[x]$ with $ m \neq \pm 1 $. In this paper, we study the monogenity of $K$. More precisely, we prove that if $m$ is square-fr
Externí odkaz: https://doaj.org/article/78b6ce768021419a9e1e2dbbc5a0151f
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5
On monogenity of certain pure number fields defined by xpr − m
Autor: Hamid Ben Yakkou, Lhoussain El Fadil
Publikováno v: International Journal of Number Theory. 17:2235-2242
Let [Formula: see text] be a pure number field generated by a complex root [Formula: see text] of a monic irreducible polynomial [Formula: see text] where [Formula: see text] is a square free rational integer, [Formula: see text] is a rational prime
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5de1946607eac1cb7bbc75208cd4f882
https://doi.org/10.1142/s1793042121500858
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6
On power integral bases of certain pure number fields defined by $$x^{3^r} - m$$
Autor: Omar Kchit, Hamid Ben Yakkou
Publikováno v: São Paulo Journal of Mathematical Sciences. 16:1072-1079
Let $$K = \mathbb {Q} (\alpha )$$ be a pure number field generated by a root $$\alpha$$ of a monic irreducible polynomial $$F(x) = x^{3^r} -m$$ , with $$m \ne \pm 1$$ is a square-free rational integer and r is a positive integer. In this paper, we st
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::49280d0e15d6554caa67bf44e2ed1592
https://doi.org/10.1007/s40863-021-00251-2
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7
On power integral bases for certain pure number fields defined by x2r.5s−m
Autor: Abdelhakim Chillali, Lhoussain El Fadil, Hamid Ben Yakkou
Publikováno v: Communications in Algebra. 49:2916-2926
Let K=Q(α) be a pure number field generated by a root α of a monic irreducible polynomial F(x)=x2r·5s−m, with m≠∓1 is a square free integer, r and s are two positive integers. In this article, we s...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9e86642555d4404a0b02b38a92f858a5
https://doi.org/10.1080/00927872.2021.1883642
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9
Akademický článek
ON MONOGENITY OF CERTAIN NUMBER FIELDS DEFINED BY TRINOMIALS.
Autor: HAMID BEN YAKKOU, EL FADIL, LHOUSSAIN
Publikováno v: Functiones et Approximatio Commentarii Mathematici; Dec2022, Vol. 67 Issue 2, p199-221, 23p
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