2006-08-16 20:41:45 · 5 answers · asked by anjith g 1 in Science & Mathematics ➔ Mathematics
the proof is 2000 pages long... want me to post it here?
2006-08-16 20:47:43 · answer #1 · answered by Anonymous · 0⤊ 0⤋
The problem can be reduced to
x^p + y^p + z^p = 0 has no non-trivial solutions
for x,y,z relatively prime integers and p an odd prime.
Outline of proof: if such numbers x,y,z exist they can be associated with an elliptic curve which turns out to be semi-stable.
Wiles proved in 1995 that semistable elliptic curves over rational numbers are modular, i.e. there is a modular form associated to them with certain properties depending on x,y,z.
It can be proven that if there is a modular form with such properties, there must also exist other modular forms with special properties, which however are known not to exist.
Therefore the assumption that the numbers x,y,z with the given property exists is false.
2006-08-17 04:11:30 · answer #2 · answered by dutch_prof 4 · 0⤊ 0⤋
I have a marvellous proof, unfortunately this answer box is too narrow to contain it. (with apologies to the man himself)
2006-08-17 03:59:14 · answer #3 · answered by Stephan B 5 · 0⤊ 0⤋
This should enlighten you
2006-08-17 03:47:23 · answer #4 · answered by michael2003c2003 5 · 0⤊ 0⤋
I don't think that we have it yet.
2006-08-17 03:47:47 · answer #5 · answered by Tim 2 · 0⤊ 0⤋