On monogenity of certain number fields defined by trinomials
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Publication:2108517
DOI10.7169/facm/1987OpenAlexW3200203317MaRDI QIDQ2108517
Hamid Ben Yakkou, Lhoussain El Fadil
Publication date: 19 December 2022
Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.08765
Related Items (6)
On index divisors and monogenity of certain septic number fields defined by x7 + ax3 + b ⋮ On the index divisors and monogenity of number fields defined by x 5 + ax 3 + b ⋮ On nonmonogenic number fields defined by trinomials of type \(x^n +ax^m+b\) ⋮ On index divisors and non-monogenity of certain quintic number fields defined by x5 + axm + bx + c ⋮ On nonmonogenic algebraic number fields ⋮ On index and monogenity of certain number fields defined by trinomials
Cites Work
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- Integral bases and monogenity of pure fields
- On the discriminant of a trinomial
- On a theorem of Ore
- On the resolution of index form equations in quartic number fields
- On a problem of Hasse for certain imaginary Abelian fields
- On integral bases and monogeneity of pure sextic number fields with non-squarefree coefficients
- On power integral bases of certain pure number fields defined by \(x^{3^r} - m\)
- Monogenic fields arising from trinomials
- Non-monogenity in a family of octic fields
- Explicit factorization of \(x^{2^ k}+1\) over \(F_ p\) with prime \(p\equiv 3\bmod 4\)
- On power basis of a class of algebraic number fields
- On the indices of multiquadratic number fields
- NEWTON POLYGONS AND p-INTEGRAL BASES OF QUARTIC NUMBER FIELDS
- Power integral bases for certain pure sextic fields
- Computing All Power Integral Bases of Cubic Fields
- Index form equations in quintic fields
- Index form equations in sextic fields: a hard computation
- The monogeneity of radical extensions
- Monogenic trinomials with non-squarefree discriminant
- AN EXPERIMENT ON THE MONOGENITY OF A FAMILY OF TRINOMIALS
- On Newton polygons techniques and factorization of polynomials over Henselian fields
- On power integral bases for certain pure number fields defined by x2r.5s−m
- On monogenity of certain pure number fields defined by xpr − m
- Diophantine Equations and Power Integral Bases
- Newton polygons of higher order in algebraic number theory
- Valued Fields
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