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Uniqueness theorems for the representationø (f (x) g (y) + h (y))

✍ Scribed by Anders Lundberg; Che Tat Ng


Publisher
Springer
Year
1975
Tongue
English
Weight
491 KB
Volume
13
Category
Article
ISSN
0001-9054

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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