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F-X and G-X systems of K2

✍ Scribed by M. Rafi; S. M. Naqvi; M. Jahangir; S. Mahmood; I. A. Khan

Publisher: Springer
Year: 1993
Tongue: English
Weight: 262 KB
Volume: 27
Category: Article
ISSN: 1434-6060
DOI: 10.1007/bf01436764

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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