Class numbers of pure quintic fields

DOI10.1016/j.jnt.2015.09.017zbMath1338.11100OpenAlexW1938152234WikidataQ114157449 ScholiaQ114157449MaRDI QIDQ897556

Hirotomo Kobayashi

Publication date: 7 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.09.017

zbMATH Keywords

pure quintic fieldsclass numbersunit groups

Mathematics Subject Classification ID

Other number fields (11R21) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (4)

5-rank of ambiguous class groups of quintic Kummer extensions ⋮ A modular construction of unramified 𝑝-extensions of ℚ(ℕ^{1/𝕡}) ⋮ Class number relations between pure fields and their Galois closures ⋮ Differential principal factors and Pólya property of pure metacyclic fields

Cites Work

• Class numbers of algebraic number fields of Eisenstein type
• Pure cubic fields whose class numbers are multiples of three
• A criterion for the class number of a pure quintic field to be divisible by 5.
• The class number of pure fields of prime degree
• Über die Klassenzahlen algebraischer Zahlkörper
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