Circular distributions and Euler systems

DOI10.1006/JNTH.2000.2634zbMath0995.11060OpenAlexW1948726043MaRDI QIDQ5935878

Soogil Seo

Publication date: 1 July 2001

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

Full work available at URL: https://semanticscholar.org/paper/ccf373714aefed98fe76003feb39318fd8f7c4cb

zbMATH Keywords

class numberscyclotomic unitsEuler systems

Mathematics Subject Classification ID

Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (9)

Notes on the module of Euler systems for $p$-adic representations ⋮ Truncated Euler Systems over Imaginary Quadratic Fields ⋮ Adelic Euler systems for \(\mathbb{G}_m\) ⋮ On Euler systems for the multiplicative group over general number fields ⋮ Euler systems and special units ⋮ On circular distributions and a conjecture of Coleman ⋮ On formulas for the index of the circular distributions ⋮ Truncated Euler systems ⋮ Circular distributions and a result of Solomon

Cites Work

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• Class fields of abelian extensions of \(\mathbb Q\)
• Division values in local fields
• On the Stickelberger ideal and the circular units of an abelian field
• On the Stickelberger ideal and the circular units of a cyclotomic field
• The non-p-part of the class number in a cyclotomic \(\mathbb{Z}_p\)-extension
• Systèmes d'Euler \(p\)-adiques et théorie d'Iwasawa. (\(p\)-adic Euler systems and Iwasawa theory.)
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• On an Archimedian characterization of the circular units.
• On the Iwasawa Invariants of Totally Real Number Fields

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