On power integral bases for certain pure number fields defined by x2r.5s−m
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Publication:5156118
DOI10.1080/00927872.2021.1883642zbMath1471.11260OpenAlexW3093998215MaRDI QIDQ5156118
Abdelhakim Chillali, Hamid Ben Yakkou, Lhoussain El Fadil
Publication date: 14 October 2021
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2021.1883642
Computer solution of Diophantine equations (11Y50) Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04)
Related Items (13)
On monogenity of certain pure number fields defined by $$x^{{2}^{u}.3^{v}} - m$$ ⋮ On power integral bases of certain pure number fields defined by \(x^{42}-m\) ⋮ On monogenity of certain number fields defined by \(x^8+ax+b\) ⋮ On common index divisors and monogenity of certain number fields defined by x5 + ax2 + b ⋮ On power integral bases of certain pure number fields defined by $x^{3^r\cdot 7^s}-m$ ⋮ On monogenity of certain pure number fields defined by \(x^{2^r\cdot 5^s\cdot 7^t}-m\) ⋮ On nonmonogenic number fields defined by trinomials of type \(x^n +ax^m+b\) ⋮ On monogenity of certain pure number fields defined by $x^{2^r\cdot7^s}-m$ ⋮ On common index divisor and monogenity of certain number fields defined by trinomials X6 + AX + B ⋮ On monogenity of certain pure number fields defined by \(x^{60} - m\) ⋮ On power integral bases of certain pure number fields defined by \(x^{3^r} - m\) ⋮ On monogenity of certain number fields defined by trinomials ⋮ On power integral bases for certain pure number fields defined by $x^{2\cdot 3^k}-m$
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