Complete Resolution Of A Family Of Twisted Thue Equations

Tobias Hilgart, Carina Premstaller, Volker Ziegler

One of the first infinite families of Thue equations, $$F_n(X)=X^3-(n-1)X^{2}Y-(n+2)X{Y}^2-Y^3=\pm 1$$ for $n\in \mathbb{Z}$, was solved by Thomas in 1990. This family is asso…