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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 wikiPageRevisionID "599588080".
- Stark_conjectures authorlink "Harold Stark".
- Stark_conjectures hasPhotoCollection Stark_conjectures.
- Stark_conjectures last "Stark".
- 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 Abstraction100002137.
- Stark_conjectures type Cognition100023271.
- Stark_conjectures type Concept105835747.
- Stark_conjectures type Conjectures.
- Stark_conjectures type Content105809192.
- Stark_conjectures type Hypothesis105888929.
- Stark_conjectures type Idea105833840.
- Stark_conjectures type PsychologicalFeature100023100.
- Stark_conjectures type Speculation105891783.
- 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 label "スターク予想".
- Stark_conjectures sameAs スターク予想.
- Stark_conjectures sameAs m.0d_27g.
- Stark_conjectures sameAs Q7601982.
- Stark_conjectures sameAs Q7601982.
- Stark_conjectures sameAs Stark_conjectures.
- Stark_conjectures wasDerivedFrom Stark_conjectures?oldid=599588080.
- Stark_conjectures isPrimaryTopicOf Stark_conjectures.