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- Leopoldt's_conjecture abstract "In algebraic number theory, Leopoldt's conjecture, introduced by H.-W. Leopoldt (1962, 1975), states that the p-adic regulator of a number field does not vanish. The p-adic regulator is an analogue of the usual regulator defined using p-adic logarithms instead of the usual logarithms, introduced by H.-W. Leopoldt (1962).Leopoldt proposed a definition of a p-adic regulator Rp attached to K and a prime number p. The definition of Rp uses an appropriate determinant with entries the p-adic logarithm of a generating set of units of K (up to torsion), in the manner of the usual regulator. The conjecture, which for general K is still open as of 2009, then comes out as the statement that Rp is not zero.".
- Leopoldt's_conjecture wikiPageExternalLink 1256059299.
- Leopoldt's_conjecture wikiPageExternalLink purl?GDZPPN002179482.
- Leopoldt's_conjecture wikiPageID "21829200".
- Leopoldt's_conjecture wikiPageRevisionID "591726457".
- Leopoldt's_conjecture authorlink "Heinrich-Wolfgang Leopoldt".
- Leopoldt's_conjecture authorlink "Preda Mihăilescu".
- Leopoldt's_conjecture first "H.-W.".
- Leopoldt's_conjecture first "M.".
- Leopoldt's_conjecture hasPhotoCollection Leopoldt's_conjecture.
- Leopoldt's_conjecture id "l/l110120".
- Leopoldt's_conjecture last "Kolster".
- Leopoldt's_conjecture last "Leopoldt".
- Leopoldt's_conjecture last "Mihăilescu".
- Leopoldt's_conjecture year "1962".
- Leopoldt's_conjecture year "1975".
- Leopoldt's_conjecture year "2009".
- Leopoldt's_conjecture year "2011".
- Leopoldt's_conjecture subject Category:Algebraic_number_theory.
- Leopoldt's_conjecture subject Category:Conjectures.
- Leopoldt's_conjecture type Abstraction100002137.
- Leopoldt's_conjecture type Cognition100023271.
- Leopoldt's_conjecture type Concept105835747.
- Leopoldt's_conjecture type Conjectures.
- Leopoldt's_conjecture type Content105809192.
- Leopoldt's_conjecture type Hypothesis105888929.
- Leopoldt's_conjecture type Idea105833840.
- Leopoldt's_conjecture type PsychologicalFeature100023100.
- Leopoldt's_conjecture type Speculation105891783.
- Leopoldt's_conjecture comment "In algebraic number theory, Leopoldt's conjecture, introduced by H.-W. Leopoldt (1962, 1975), states that the p-adic regulator of a number field does not vanish. The p-adic regulator is an analogue of the usual regulator defined using p-adic logarithms instead of the usual logarithms, introduced by H.-W. Leopoldt (1962).Leopoldt proposed a definition of a p-adic regulator Rp attached to K and a prime number p.".
- Leopoldt's_conjecture label "Conjecture de Leopoldt".
- Leopoldt's_conjecture label "Leopoldt's conjecture".
- Leopoldt's_conjecture sameAs Conjecture_de_Leopoldt.
- Leopoldt's_conjecture sameAs m.05p9ln8.
- Leopoldt's_conjecture sameAs Q2993327.
- Leopoldt's_conjecture sameAs Q2993327.
- Leopoldt's_conjecture sameAs Leopoldt's_conjecture.
- Leopoldt's_conjecture wasDerivedFrom Leopoldt's_conjecture?oldid=591726457.
- Leopoldt's_conjecture isPrimaryTopicOf Leopoldt's_conjecture.