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On the maximal product of distances between points on a sphere

✍ Scribed by A. Dubickas


Publisher
Springer
Year
1996
Tongue
English
Weight
250 KB
Volume
36
Category
Article
ISSN
0363-1672

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On the global distance between two algeb
✍ Michel Laurent; Dimitrios Poulakis πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 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