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- Stark_conjectures abstract "In number theory, the Stark conjectures, introduced by Stark (1971, 1975, 1976, 1980) and later expanded by Tate (1984), give conjectural information about the coefficient of the leading term in the Taylor expansion of an Artin L-function associated with a Galois extension K/k of algebraic number fields. The conjectures generalize the analytic class number formula expressing the leading coefficient of the Taylor series for the Dedekind zeta function of a number field as the product of a regulator related to S-units of the field and a rational number. When K/k is an abelian extension and the order of vanishing of the L-function at s = 0 is one, Stark gave a refinement of his conjecture, predicting the existence of certain S-units, called Stark units. Rubin (1996) and Cristian Dumitru Popescu gave extensions of this refined conjecture to higher orders of vanishing.".
- Stark_conjectures wikiPageExternalLink 0202109.
- Stark_conjectures wikiPageExternalLink 0001-8708(80)90049-3.
- Stark_conjectures wikiPageExternalLink A:1000833610462.
- Stark_conjectures wikiPageExternalLink stark.
- Stark_conjectures wikiPageExternalLink item?id=AIF_1996__46_1_33_0.
- Stark_conjectures wikiPageExternalLink 978-0-8176-3188-8.
- Stark_conjectures wikiPageID "5685631".
- Stark_conjectures wikiPageLength "7807".
- Stark_conjectures wikiPageOutDegree "38".
- Stark_conjectures wikiPageRevisionID "660246366".
- Stark_conjectures wikiPageWikiLink Abelian_extension.
- Stark_conjectures wikiPageWikiLink Alain_Connes.
- Stark_conjectures wikiPageWikiLink Algebraic_number.
- Stark_conjectures wikiPageWikiLink Algebraic_number_field.
- Stark_conjectures wikiPageWikiLink American_Mathematical_Society.
- Stark_conjectures wikiPageWikiLink Annales_de_lInstitut_Fourier.
- Stark_conjectures wikiPageWikiLink Artin_L-function.
- Stark_conjectures wikiPageWikiLink Category:Algebraic_number_theory.
- Stark_conjectures wikiPageWikiLink Category:Conjectures.
- Stark_conjectures wikiPageWikiLink Category:Field_theory.
- Stark_conjectures wikiPageWikiLink Category:Zeta_and_L-functions.
- Stark_conjectures wikiPageWikiLink Class_field_theory.
- Stark_conjectures wikiPageWikiLink Class_number_formula.
- Stark_conjectures wikiPageWikiLink Coefficient.
- Stark_conjectures wikiPageWikiLink Complex_analysis.
- Stark_conjectures wikiPageWikiLink Conjecture.
- Stark_conjectures wikiPageWikiLink Cristian_Dumitru_Popescu.
- Stark_conjectures wikiPageWikiLink Dedekind_zeta_function.
- Stark_conjectures wikiPageWikiLink Dirichlets_unit_theorem.
- Stark_conjectures wikiPageWikiLink Function_field_of_an_algebraic_variety.
- Stark_conjectures wikiPageWikiLink Galois_extension.
- Stark_conjectures wikiPageWikiLink Hilbert_class_field.
- Stark_conjectures wikiPageWikiLink Hilberts_twelfth_problem.
- Stark_conjectures wikiPageWikiLink Kummer_theory.
- Stark_conjectures wikiPageWikiLink Noncommutative_geometry.
- Stark_conjectures wikiPageWikiLink Number_theory.
- Stark_conjectures wikiPageWikiLink GP.
- Stark_conjectures wikiPageWikiLink Quadratic_field.
- Stark_conjectures wikiPageWikiLink Rational_number.
- Stark_conjectures wikiPageWikiLink S-unit.
- Stark_conjectures wikiPageWikiLink Springer_Science+Business_Media.
- Stark_conjectures wikiPageWikiLink Stark_units.
- Stark_conjectures wikiPageWikiLink Taylor_series.
- Stark_conjectures wikiPageWikiLink Zero_(complex_analysis).
- Stark_conjectures wikiPageWikiLinkText "Stark conjectures".
- Stark_conjectures authorlink "Harold Stark".
- Stark_conjectures last "Stark".
- Stark_conjectures wikiPageUsesTemplate Template:Citation.
- Stark_conjectures wikiPageUsesTemplate Template:Harvs.
- Stark_conjectures wikiPageUsesTemplate Template:Reflist.
- Stark_conjectures year "1971".
- Stark_conjectures year "1975".
- Stark_conjectures year "1976".
- Stark_conjectures year "1980".
- Stark_conjectures subject Category:Algebraic_number_theory.
- Stark_conjectures subject Category:Conjectures.
- Stark_conjectures subject Category:Field_theory.
- Stark_conjectures subject Category:Zeta_and_L-functions.
- Stark_conjectures type Conjecture.
- Stark_conjectures type Function.
- Stark_conjectures type Statement.
- Stark_conjectures type Statement.
- Stark_conjectures comment "In number theory, the Stark conjectures, introduced by Stark (1971, 1975, 1976, 1980) and later expanded by Tate (1984), give conjectural information about the coefficient of the leading term in the Taylor expansion of an Artin L-function associated with a Galois extension K/k of algebraic number fields.".
- Stark_conjectures label "Stark conjectures".
- Stark_conjectures sameAs Q7601982.
- Stark_conjectures sameAs スターク予想.
- Stark_conjectures sameAs m.0d_27g.
- Stark_conjectures sameAs Q7601982.
- Stark_conjectures wasDerivedFrom Stark_conjectures?oldid=660246366.
- Stark_conjectures isPrimaryTopicOf Stark_conjectures.