Discriminant and integral basis of quintic fields defined by x5 + ax + b

DOI10.1142/S0219498823501098OpenAlexW4213428343MaRDI QIDQ5883806

Sumandeep Kaur, Anuj Jakhar, Sudesh Kaur Khanduja

Publication date: 23 March 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823501098

zbMATH Keywords

discriminantintegral basis\(p\)-integral basis

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Algebraic numbers; rings of algebraic integers (11R04)

Uses Software

• Maple

Cites Work

• On prolongations of valuations via Newton polygons and liftings of polynomials
• A generalization of a theorem of Ore
• Discriminants of pure square-free degree number fields
• Decomposition of primes in number fields defined by trinomials
• Discriminants of number fields defined by trinomials
• 𝑝-integral bases of a cubic field
• The Discriminant of a Dihedral Quintic Field Defined by a Trinomial X⁵ + aX + b
• Factorization over local fields and the irreducibility of generalized difference polynomials
• On the discriminant of pure number fields
• On the factors of a polynomial
• Number fields
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