%0 Journal Article
%T A note on the field isomorphism problem of X^3+sX+s and related cubic Thue equations
%A Akinari Hoshi
%A Katsuya Miyake
%J Mathematics
%D 2009
%I arXiv
%X We study the field isomorphism problem of cubic generic polynomial $X^3+sX+s$ over the field of rational numbers with the specialization of the parameter $s$ to nonzero rational integers $m$ via primitive solutions to the family of cubic Thue equations $x^3-2mx^2y-9mxy^2-m(2m+27)y^3=\lambda$ where $\lambda^2$ is a divisor of $m^3(4m+27)^5$.
%U http://arxiv.org/abs/0901.4831v3