On the Resolution of F(x,y)=G(x,y)
✍
István Gaál
📂
Article
📅
1993
🏛
Elsevier Science
🌐
English
⚖ 222 KB
Let \(F(x, y), G(x, y) \in \mathbf{Z}[x, y]\) be polynomials of degree \(n\) and \(m\), respectively. Assume, that \(F\) is homogeneous and \(n-m \geq 3\). We give a fast algorithm for the resolution of the inequality \(|F(x, y)| \leq|G(x, y)|\) in \(x, y \in \mathbf{Z}, \max (|x|,|y|)<C\). We illus