On \(p\)-rationality of \(\mathbb{Q}(\zeta_{2l+1})^+\) for Sophie Germain primes \(l\)

DOI10.1016/j.jnt.2021.05.009zbMath1484.11207OpenAlexW3168421257WikidataQ114156943 ScholiaQ114156943MaRDI QIDQ2239162

Donghyeok Lim

Publication date: 3 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2021.05.009

zbMATH Keywords

generalized Bernoulli numbers\(p\)-rational fieldsreal cyclotomic fields

Mathematics Subject Classification ID

Cohomological dimension of fields (12G10) Class field theory (11R37) Iwasawa theory (11R23) Totally real fields (11R80)

Uses Software

• PARI/GP

Cites Work

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