Ideal norms in the cyclotomic tower and Greenberg's conjecture

DOI10.1007/s40316-018-0108-3zbMath1464.11115arXiv1706.08784OpenAlexW2758340322WikidataQ123219598 ScholiaQ123219598MaRDI QIDQ2322855

Georges Gras

Publication date: 5 September 2019

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08784

zbMATH Keywords

Greenberg's conjectureclass field theory\(p\)-class groupsIwasawa's theory\(p\)-adic regulatorsFermat quotients of algebraic numbers

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)

Related Items (3)

New criteria for Vandiver's conjecture using Gauss sums -- heuristics and numerical experiments ⋮ Tate-Shafarevich groups in the cyclotomic \(\hat{\mathbb{Z}} \)-extension and Weber's class number problem ⋮ Algorithmic complexity of Greenberg's conjecture

Uses Software

• PARI/GP

Cites Work

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