๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the number of solutions to a diophantine equation

โœ Scribed by Bruce Faaland

Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
211 KB
Volume
13
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

On the Practical Solution of Genus Zero
On the Practical Solution of Genus Zero Diophantine Equations
โœ Dimitrios Poulakis; Evaggelos Voskos ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 263 KB

Let f (X, Y ) be an absolutely irreducible polynomial with integer coefficients such that the curve defined by the equation f (X, Y ) = 0 is of genus 0 having at least three infinite valuations. This paper describes a practical general method for the explicit determination of all integer solutions o

Polynomial Bounds for the Solutions of a
Polynomial Bounds for the Solutions of a Class of Diophantine Equations
โœ Dimitrios Poulakis ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 320 KB

Let K be an algebraic number field such that all the embeddings of K into C are real. We denote by O K the ring of algebraic integers of K. Let F(X, Y) be an irreducible polynomial in K[X, Y ]&K[Y ] of total degree N and of degree n>0 in Y. We denote by F N (X, Y ) its leading homogeneous part. Supp