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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
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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