# On the simplest sextic fields and related Thue equations - Mathematics > Number Theory

On the simplest sextic fields and related Thue equations - Mathematics > Number Theory - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We consider the parametric family of sextic Thue equations \x^6-2mx^5y-5m+3x^4y^2-20x^3y^3+5mx^2y^4+2m+3xy^5+y^6=\lambda \ where$m\in\mathbb{Z}$ is an integer and $\lambda$ is a divisor of $27m^2+3m+9$. Weshow that the only solutions to the equations are the trivial ones with$xyx+yx-yx+2y2x+y=0$.

Autor: Akinari Hoshi

Fuente: https://arxiv.org/