Discriminant and integral basis of pure nonic fields

MaRDI QIDQ6655073

Anuj Jakhar, Neeraj Sangwan

Publication date: 20 December 2024

Published in: Journal of the Ramanujan Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Cites Work

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• Higher Newton polygons and integral bases
• Newtonsche Polygone in der Theorie der algebraischen Körper.
• On the fundamental number of the algebraic numberfield \(k(\root p\of{m})\).
• On the number of ideal classes in pure cubic number fields.
• Explicit integral basis of pure sextic fields
• Explicit integral basis of \(\mathbb{Q}(\sqrt[p_1 p_2{a})\)]
• Integral basis of pure prime degree number fields
• Power integral bases for certain pure sextic fields
• On the discriminant of pure number fields
• Newton polygons of higher order in algebraic number theory
• Number fields
• ON INTEGRAL BASIS OF PURE NUMBER FIELDS

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