Author:
Carbó-Dorca Ramon,Nath Debraj
Abstract
When observed from a natural vector space viewpoint, Fermat’s last theorem appears not as a unique property of natural numbers, but as the bottom line of extended possible issues involving larger dimensions and powers. The fabric of this general Fermat’s theorem structure consists of a well-defined set of vectors associated with \(N-\) dimensional vector spaces and the Minkowski norms one can define there. Here, this special vector set is studied and named a Fermat surface. The connection between Fermat surfaces and hypercubes is unveiled.