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On the Correspondence of Two Points on a Curve

โœ Scribed by Cayley,


Book ID
120104874
Publisher
Oxford University Press
Year
1865
Tongue
English
Weight
184 KB
Volume
s1-1
Category
Article
ISSN
0024-6115

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โœ Michel Laurent; Dimitrios Poulakis ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 455 KB

We prove diophantine inequalities involving various distances between two distinct algebraic points of an algebraic curve. These estimates may be viewed as extensions of classical Liouville's inequality. Our approach is based on a transcendental construction using algebraic functions. Next we apply