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. For this see Ax–Kochen theorem or Brauer's theorem on forms.
- Artin had also conjectured Hasse's theorem on elliptic curves
Famous quotes containing the word conjecture:
“What these perplexities of my uncle Toby were,—’tis impossible for you to guess;Mif you could,—I should blush ... as an author; inasmuch as I set no small store by myself upon this very account, that my reader has never yet been able to guess at any thing. And ... if I thought you was able to form the least ... conjecture to yourself, of what was to come in the next page,—I would tear it out of my book.”
—Laurence Sterne (1713–1768)