Search results
Results From The WOW.Com Content Network
Wiles's proof of Fermat's Last Theorem is a proof by British mathematician Sir Andrew Wiles of a special case of the modularity theorem for elliptic curves. Together with Ribet's theorem, it provides a proof for Fermat's Last Theorem. Both Fermat's Last Theorem and the modularity theorem were believed to be impossible to prove using previous ...
Fermat's Last Theorem states that no three positive integers (a, b, c) can satisfy the equation a n + b n = c n for any integer value of n greater than 2. (For n equal to 1, the equation is a linear equation and has a solution for every possible a and b.
Wiles was interviewed for an episode of the BBC documentary series Horizon [27] about Fermat's Last Theorem. This was broadcast as an episode of the PBS science television series Nova with the title "The Proof". [10] His work and life are also described in great detail in Simon Singh's popular book Fermat's Last Theorem.
The strategy that ultimately led to a successful proof of Fermat's Last Theorem arose from the "astounding" [137]: 211 Taniyama–Shimura–Weil conjecture, proposed around 1955—which many mathematicians believed would be near to impossible to prove, [137]: 223 and was linked in the 1980s by Gerhard Frey, Jean-Pierre Serre and Ken Ribet to ...
The documentary was originally transmitted in January 1996 as an edition of the BBC Horizon series. It was also aired in America as part of the NOVA series. The Proof, as it was re-titled, was nominated for an Emmy Award. The story of this celebrated mathematical problem was also the subject of Singh's first book, Fermat's Last Theorem.
Horizon continues to be broadcast on BBC Two, and in 2009 added a series of films based on the rich Horizon archive, called Horizon Guides, on BBC Four. In December 2016, it was announced that Horizon would no longer be made exclusively by the BBC's in-house production division, BBC Studios , and the BBC invited independent production companies ...
This conjecture proved to be a major component in the proof of Fermat's Last Theorem by Andrew Wiles.” [2] In 1986 Ken Ribet proved that if the Taniyama–Shimura conjecture held, then so would Fermat's Last Theorem, which inspired Andrew Wiles to work for a number of years in secrecy on it, and to prove enough of it to prove Fermat's Last ...
One of the two papers containing the published proof of Fermat's Last Theorem is a joint work of Taylor and Andrew Wiles. [10] In subsequent work, Taylor (along with Michael Harris) proved the local Langlands conjectures for GL over a number field. [11]