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On the equation f(x + 1)...f(x + k)=f(y + 1)...f(y + mk)

✍ Scribed by R. Balasubramanian; T.N. Shorey


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
501 KB
Volume
4
Category
Article
ISSN
0019-3577

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On the Resolution of F(x,y)=G(x,y)
✍ IstvΓ‘n GaΓ‘l πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 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