Simple families of Thue inequalities
Günter Lettl, Attila Pethő, Paul Voutier · Transactions of the American Mathematical Society · 1999
We use the hypergeometric method to solve three families of Thue inequalities of degree 3, 4 and 6, respectively, each of which is parametrized by an integral parameter. We obtain bounds for the solutions, which are astonishingly small compared to similar results which use estimates of linear forms in logarithms.