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On the solution of (dydx)ap = f(x, y)

✍ Scribed by P.S Bullen; D.N Sarkhel

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
532 KB
Volume
127
Category
Article
ISSN
0022-247X

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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