On the discriminant of pure number fields

DOI10.4064/cm8257-11-2020zbMath1491.11099arXiv2005.01300OpenAlexW3164014213MaRDI QIDQ5028993

Neeraj Sangwan, Anuj Jakhar, Sudesh Kaur Khanduja

Publication date: 11 February 2022

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.01300

zbMATH Keywords

discriminantring of integersmonogenic number fields

Mathematics Subject Classification ID

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

Related Items (5)

Discriminant and integral basis of quintic fields defined by x5 + ax + b ⋮ Explicit integral basis of \(\mathbb{Q}(\sqrt[p_1 p_2{a})\)] ⋮ Discriminant and integral basis of sextic fields defined by x6+ax+b ⋮ Minimal Mahler measures for generators of some fields ⋮ ON INTEGRAL BASIS OF PURE NUMBER FIELDS

Cites Work

• A new computational approach to ideal theory in number fields
• Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields
• Higher Newton polygons and integral bases
• On a theorem of Ore
• On prolongations of valuations via Newton polygons and liftings of polynomials
• Discriminants of pure square-free degree number fields
• Newton polygons of higher order in algebraic number theory
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