Assim, J. and Do, T.N.Q. (2004) Sur la constante de Kummer-Leopoldt d'un corps de nombres. Manuscripta Mathematica, 115 (1). pp. 55-72.

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Kummer's lemma for the cyclotomic field ℚ(μp) gives sufficient local conditions for a unit to be a global p-th power, and can thus be viewed as an early version of Leopoldt's conjecture. To study generalizations and converse statements, we introduce the "Kummer-Leopoldt constant" κ(F) of a number field F and compute it in Iwasawa theoretic terms. The vanishing of κ(F) gives the desired generalization and converse of Kummer's lemma.

Item Type: Article
Subjects: Mathematics
Divisions: SCIENTIFIC PRODUCTION > Mathematics
Depositing User: Administrateur Eprints Administrateur Eprints
Last Modified: 31 Jan 2020 15:49

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