A twisted class number formula and Gross's special units over an imaginary quadratic field

DOI10.21136/cmj.2023.0067-23OpenAlexW4388450994MaRDI QIDQ6137043

Saad El Boukhari

Publication date: 18 January 2024

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2023.0067-23

zbMATH Keywords

Dedekind zeta functionalgebraic \(K\)-theoryArtin \(L\)-functionBeilinson regulatorgeneralized indexLichtenbaum conjecture

Mathematics Subject Classification ID

(K)-theory of global fields (11R70) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Cites Work

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• Über die Werte der Dedekindschen Zetafunktion
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• On the Stickelberger ideal and the circular units of an abelian field
• Fitting ideals of isotypic parts of even K-groups
• Twisted \(S\)-units, \(p\)-adic class number formulas, and the Lichtenbaum conjectures
• On the values of Artin \(L\)-functions
• The Iwasawa conjecture for totally real fields
• Higher regulators and Hecke \(L\)-series of imaginary quadratic fields. II
• The Regulators of Beilinson and Borel
• Leading terms of Artin L-series at negative integers and annihilation of higher K-groups
• On higher p-adic regulators
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• Higher Stickelberger ideals and even 𝐾-groups
• The local equivariant Tamagawa number conjecture for almost abelian extensions
• Stark's Conjecture and New Stickelberger Phenomena
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