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An algorithm for testing Leopoldt's conjecture

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Publication:1091426
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DOI10.1016/0022-314X(87)90054-0zbMath0623.12002WikidataQ122958349 ScholiaQ122958349MaRDI QIDQ1091426

Jonathan W. Sands, Johannes A. Buchmann

Publication date: 1987

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


zbMATH Keywords

unitsalgorithmLeopoldt conjecturep-adic logarithmp-adic regulator


Mathematics Subject Classification ID

Units and factorization (11R27) Other number fields (11R21) Algebraic number theory computations (11Y40)


Related Items

On the p‐adic Stark conjecture at s=1 and applications ⋮ \({\mathbb{Z}{}}_ p\)-independent systems of units



Cites Work

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  • Leopoldt's conjecture and Reiner's theorem
  • Indépendance linéaire sur \=Q de logarithmes p-adiques de nombres algébriques et rang p-adique du groupe des unités d'un corps de nombres
  • Formulations de la conjecture de Leopoldt et étude d'une condition suffisante
  • On Effective Computation of Fundamental Units. I
  • The class number of pure fields of prime degree
  • Kummer's and Iwasawa's Version of Leopoldt's Conjecture
  • On the units of algebraic number fields
  • $\Gamma $-extensions et invariants cyclotomiques
  • On the units of an algebraic number field
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