Artin conjecture
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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 d2 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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