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Artin conjecture : ウィキペディア英語版 | Artin conjecture In mathematics, there are several conjectures made by Emil Artin: * Artin conjecture (L-functions) * Artin's conjecture on primitive roots * The (now proved) conjecture that finite fields are quasi-algebraically closed; see Chevalley–Warning theorem * The (now disproved) conjecture that any algebraic form over the p-adics of degree ''d'' in more than ''d''2 variables represents zero: that is, that all ''p''-adic fields are C2; see Ax–Kochen theorem or Brauer's theorem on forms. * Artin had also conjectured Hasse's theorem on elliptic curves
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