The solution to this problem was originally approached using horizontal Iwasawa theory, and a weaker version of this result is derived from Falting's theorem. The proof of this theorem relied on Ribet's work on the epsilon conjecture. It was proven for all primes less than 100 using Sophie Germain's
The solution to this problem was originally approached using horizontal Iwasawa theory, and a weaker version of this result is derived from Falting's theorem. The proof of this theorem relied on Ribet's work on the epsilon conjecture. It was proven for all primes less than 100 using Sophie Germain's theorem. Its proof relied on a result that states that any elliptic curve over the rationals can be obtained from a rational map, known as the (*) Taniyama-Shimura conjecture. The originator of this result claimed to have a miraculous proof of it that the margin couldn't contain. For 10 points, name this result proven by Andrew Wiles, which states that for n greater than 2, there are no integers x, y, and z such that x to the n plus y to the n equals z to the n.
The solution to this problem was originally approached using horizontal Iwasawa theory, and a weaker version of this result is derived from Falting's theorem.
Fermat's Last theorem [prompt on "Fermat"]