Cyclic extensions of prime degree and their \(p\)-adic regulators

DOI10.2140/obs.2019.2.311OpenAlexW2913542960MaRDI QIDQ6165873

Tommy Hofmann, Yinan Zhang

Publication date: 2 August 2023

Published in: The Open Book Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/obs.2019.2.311

zbMATH Keywords

\(p\)-adic regulatordistribution of \(p\)-adic regulators

Mathematics Subject Classification ID

Units and factorization (11R27) Algebraic number theory computations (11Y40) Continuous, (p)-adic and abstract analogues (11K41) Other abelian and metabelian extensions (11R20)

Cites Work

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• Valuations of \(p\)-adic regulators of cyclic cubic fields
• On the Leopoldt conjecture on the p-adic regulators
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• The Magma algebra system. I: The user language
• Computing class fields via the Artin map
• Discrete logarithms and local units
• On the units of algebraic number fields
• Zur Arithmetik in abelschen Zahlkörpern.
• Lectures on P-Adic L-Functions. (AM-74)
• An application of the -adic analytic class number formula

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