On the simplest sextic fields and related Thue equations - Mathematics > Number TheoryReportar como inadecuado




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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/







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