The generalized fermat conjecture
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Fecha
2019
Autores
García Máynez, Adalberto
Gary, Margarita
Pimienta Acosta, Adolfo
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Editor
Springer
Resumen
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 xn + yn = zn?
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.