The generalized Fermat Conjecture

Abstract

Abstract If a , b , c are non-zero integers, we considerer the following problem: for which values of n the line ax + by + cz = 0 may be tangent to the curve x n + y n = z n ? We give a partial solution: if n = 5 or if n – 1 is a prime a number, then the answer is the line cannot be tangent to the curve. This problem is strongly related to Fermat’ s Last Theorem.

Locations

• LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) - View - PDF
• Mathematica Slovaca - View - PDF