Annihilators of the ideal class group of an imaginary cyclic field

DOI10.1016/j.jnt.2019.12.003zbMath1468.11225OpenAlexW2999310674WikidataQ126330989 ScholiaQ126330989MaRDI QIDQ2182157

Pavel Francírek

Publication date: 21 May 2020

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2019.12.003

zbMATH Keywords

class groupannihilatorsStickelberger idealcyclic fields

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Cites Work

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• Linear forms on Sinnott's module
• Eigenspaces of the ideal class group
• On the Stickelberger ideal and the circular units of an abelian field
• On the Stickelberger ideal and circular units of a compositum of quadratic fields
• Annihilators of minus class groups of imaginary Abelian fields
• Annihilators for the class group of a cyclic field of prime power degree III
• Resultants of Cyclotomic Polynomials

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