The Chevalley-Herbrand formula and the real abelian Main Conjecture (new criterion using capitulation of the class group)

DOI10.1016/j.jnt.2023.01.002OpenAlexW4322505928WikidataQ123265690 ScholiaQ123265690MaRDI QIDQ2696055

Publication date: 6 April 2023

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

Full work available at URL: https://arxiv.org/abs/2207.13911

zbMATH Keywords

class groups class field theory analytic formulas real abelian number fields $p$-adic characters capitulation of $p$-class groups Chevalley-Herbrand formula Main Conjecture

Mathematics Subject Classification ID

Number theory (11-XX)

Uses Software

PARI/GP

Cites Work

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Zur Arithmetik in abelschen Zahlkörpern.
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