On common index divisors and monogenity of certain number fields defined by \(x^5+ax+b\)
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Publication:6596828
DOI10.5269/bspm.63930MaRDI QIDQ6596828
Publication date: 3 September 2024
Published in: Boletim da Sociedade Paranaense de Matemática. Terceira Série (Search for Journal in Brave)
Cites Work
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- The determination of integral closures and geometric applications
- Integral bases and monogenity of pure fields
- On a theorem of Ore
- Newtonsche Polygone in der Theorie der algebraischen Körper.
- Zur Theorie der außerwesentlichen Diskriminantenteiler algebraischer Körper.
- Theory of algebraic numbers. Vol. 1
- Arithmetische Untersuchungen über die gemeinsamen ausserwesentlichen Discriminantenteiler einer Gattung.
- On the common index divisors of an algebraic field.
- On a problem of Hasse for certain imaginary Abelian fields
- On integral bases and monogeneity of pure sextic number fields with non-squarefree coefficients
- Non-monogenity in a family of octic fields
- On non monogenity of certain number fields defined by trinomials \(x^6 + ax^3 + b\)
- On certain pure sextic fields related to a problem of Hasse
- 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
- Infinite families of non-monogenic trinomials
- A Note on Elliptic Curves and the Monogeneity of Rings of Integers
- Index form equations in quintic fields
- Infinite families of monogenic trinomials and their Galois groups
- Characterization of primes dividing the index of a trinomial
- Index form equations in sextic fields: a hard computation
- AN EXPERIMENT ON THE MONOGENITY OF A FAMILY OF TRINOMIALS
- On common index divisors and monogenity of certain number fields defined by x5 + ax2 + b
- On nonmonogenic number fields defined by
- On power integral bases for certain pure number fields defined by x2r.5s−m
- Diophantine Equations and Power Integral Bases
- Newton polygons of higher order in algebraic number theory
- Some new infinite families of monogenic polynomials with non-squarefree discriminant
- On power integral bases for certain pure sextic fields
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