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- Leopoldts_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.".
- Leopoldts_conjecture wikiPageExternalLink 1256059299.
- Leopoldts_conjecture wikiPageExternalLink purl?GDZPPN002179482.
- Leopoldts_conjecture wikiPageID "21829200".
- Leopoldts_conjecture wikiPageLength "5027".
- Leopoldts_conjecture wikiPageOutDegree "17".
- Leopoldts_conjecture wikiPageRevisionID "656506268".
- Leopoldts_conjecture wikiPageWikiLink Abelian_extension.
- Leopoldts_conjecture wikiPageWikiLink Abelian_group.
- Leopoldts_conjecture wikiPageWikiLink Algebraic_number_field.
- Leopoldts_conjecture wikiPageWikiLink Algebraic_number_theory.
- Leopoldts_conjecture wikiPageWikiLink Bakers_theorem.
- Leopoldts_conjecture wikiPageWikiLink Category:Algebraic_number_theory.
- Leopoldts_conjecture wikiPageWikiLink Category:Conjectures.
- Leopoldts_conjecture wikiPageWikiLink Crelles_Journal.
- Leopoldts_conjecture wikiPageWikiLink Dirichlets_unit_theorem.
- Leopoldts_conjecture wikiPageWikiLink Index_of_a_subgroup.
- Leopoldts_conjecture wikiPageWikiLink Inventiones_Mathematicae.
- Leopoldts_conjecture wikiPageWikiLink Journal_für_die_reine_und_angewandte_Mathematik.
- Leopoldts_conjecture wikiPageWikiLink Number_field.
- Leopoldts_conjecture wikiPageWikiLink P-adic_exponential_function.
- Leopoldts_conjecture wikiPageWikiLink P-adic_logarithm.
- Leopoldts_conjecture wikiPageWikiLink P-adic_regulator.
- Leopoldts_conjecture wikiPageWikiLink Prime_number.
- Leopoldts_conjecture wikiPageWikiLink Quadratic_field.
- Leopoldts_conjecture wikiPageWikiLink Regulator_(mathematics).
- Leopoldts_conjecture wikiPageWikiLink Totally_real_field.
- Leopoldts_conjecture wikiPageWikiLink Totally_real_number_field.
- Leopoldts_conjecture wikiPageWikiLinkText "Leopoldt's conjecture".
- Leopoldts_conjecture authorlink "Heinrich-Wolfgang Leopoldt".
- Leopoldts_conjecture authorlink "Preda Mihăilescu".
- Leopoldts_conjecture first "H.-W.".
- Leopoldts_conjecture first "M.".
- Leopoldts_conjecture hasPhotoCollection Leopoldts_conjecture.
- Leopoldts_conjecture id "l/l110120".
- Leopoldts_conjecture last "Kolster".
- Leopoldts_conjecture last "Leopoldt".
- Leopoldts_conjecture last "Mihăilescu".
- Leopoldts_conjecture wikiPageUsesTemplate Template:As_of.
- Leopoldts_conjecture wikiPageUsesTemplate Template:Citation.
- Leopoldts_conjecture wikiPageUsesTemplate Template:Eom.
- Leopoldts_conjecture wikiPageUsesTemplate Template:Harvs.
- Leopoldts_conjecture wikiPageUsesTemplate Template:Harvtxt.
- Leopoldts_conjecture wikiPageUsesTemplate Template:Neukirch_et_al._CNF.
- Leopoldts_conjecture year "1962".
- Leopoldts_conjecture year "1975".
- Leopoldts_conjecture year "2009".
- Leopoldts_conjecture year "2011".
- Leopoldts_conjecture subject Category:Algebraic_number_theory.
- Leopoldts_conjecture subject Category:Conjectures.
- Leopoldts_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.".
- Leopoldts_conjecture label "Leopoldt's conjecture".
- Leopoldts_conjecture sameAs Conjecture_de_Leopoldt.
- Leopoldts_conjecture sameAs m.05p9ln8.
- Leopoldts_conjecture sameAs Q2993327.
- Leopoldts_conjecture sameAs Q2993327.
- Leopoldts_conjecture wasDerivedFrom Leopoldts_conjectureoldid=656506268.
- Leopoldts_conjecture isPrimaryTopicOf Leopoldts_conjecture.