Number of representations of integers by binary forms

Abstract

We give improved upper bounds for the number of solutions of the Thue equation F(x, y) = h where F is an irreducible binary form of degree ≥ 3.

Number of solutions of cubic Thue inequalities with positive discriminant

“…Also, the corresponding coefficients of U(X, Y) and V(X, Y) are complex conjugates. The relation (10) implies that…”