Modular elliptic curves and Fermat’s Last Theorem
By Andrew John Wiles
For Nada, Claire, Kate and Olivia
Modular_Elliptic_Curves_Fermat_Last_Theorem.pdfAbstract. When Andrew John Wiles was 10 years old, he read Eric Temple Bell’s The Last Problem and was so impressed by it that he decided that he would be the first person to prove Fermat’s Last Theorem. This theorem states that there are no nonzero integers a, b, c, n with n > 2 such that an + bn = cn. The object of this paper is to prove that all semistable elliptic curves over the set of rational numbers are modular. Fermat’s Last Theorem follows as a corollary by virtue of previous work by Frey, Serre and Ribet.
Geschrieben von Sooji Shin