Class number relations between pure fields and their Galois closures

DOI10.1016/j.jnt.2016.11.012zbMath1421.11087OpenAlexW2569690593MaRDI QIDQ512228

Hirotomo Kobayashi

Publication date: 24 February 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.11.012

zbMATH Keywords

Gauss sumBrauer-Kuroda relationspure fields

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Cites Work

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• Class numbers of pure quintic fields
• A note on class number of algebraic number fields
• Pure cubic fields whose class numbers are multiples of three
• The Unknown Technology in Homer
• The class number of pure fields of prime degree
• Über die Klassenzahlen algebraischer Zahlkörper
• Beziehungen zwischen Klassenzahlen von Teilkörpern eines galoisschen Körpers. Herrn Professor Dr. Erhard Schmidt in dankbarer Verehrung zum 75. Geburtstag

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