conjecture
Sign in to savethumb|350px|The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.
Article
19 sectionsContents
- Resolution of conjectures
- Proof
- Disproof
- Independent conjectures
- Conditional proofs
- Important examples
- Fermat's Last Theorem
- Four color theorem
- Hauptvermutung
- Weil conjectures
- Poincaré conjecture
- Riemann hypothesis
- P versus NP problem
- Other conjectures
- In other sciences
- See also
- References
- Works cited
- External links
thumb|350px|The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.
In mathematics, a conjecture is a proposition that is proffered on a tentative basis without proof. Some conjectures, such as the Riemann hypothesis or Fermat's conjecture (now a theorem, proven in 1995 by Andrew Wiles), have shaped much of mathematical history as new areas of mathematics are developed in order to prove them.