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

@inproceedings{Perera2014ProofOF,
title={Proof of Fermat’s Last Theorem for n = 3 Using Tschirnhaus Transformation},
author={B. Perera and R. Piyadasa},
year={2014}
}

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 nonrational roots, it was concluded that the Fermat’s equation cannot have integer solutions.