Triquadratic \(p\)-rational fields

DOI10.1016/j.jnt.2022.04.011OpenAlexW3140057703WikidataQ114156498 ScholiaQ114156498MaRDI QIDQ2079489

Julien Koperecz

Publication date: 30 September 2022

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

Full work available at URL: https://arxiv.org/abs/2103.15648

zbMATH Keywords

Greenberg's conjectureprimes in arithmetic progression\(p\)-rational fieldsmultiquadratic number fields

Mathematics Subject Classification ID

Galois theory (11R32) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)

Related Items (2)

Triquadratic 3-rational fields ⋮ On the \(p\)-rationality of consecutive quadratic fields

Cites Work

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• \(p\)-rational fields, \(p\)-regular fields and restricted ramification
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• Numerical verification of the Cohen-Lenstra-Martinet heuristics and of Greenberg's \(p\)-rationality conjecture
• Half-integral weight modular forms and real quadratic \(p\)-rational fields
• Lesθ-régulateurs locaux d'un nombre algébrique : Conjecturesp-adiques
• Sur les p -extensions des corps p -rationnels
• THE BRAUER–SIEGEL THEOREM

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