Proof of Fermat’s Last Theorem for n=3 Using Tschirnhaus transformation

DOI: 10.5176/2251-1911_CMCGS14.34

Authors: B.B.U.P. Perera, R.A.D. Piyadasa

Abstract: This paper gives a proof on Fermat’s Last Theorem
(FLT) for n=3 by firstly reducing the Fermat’s equation to a
cubic equation of one variable and then using Tschirnhaus
transformation to reduce it to a depressed cubic. By showing that
this last equation has non-rational roots it was concluded that the
Fermat’s equation cannot have integer solutions.

Keywords: Fermat’s Last Theorem; Tschirnhaus transformation; Integer roots