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THE AVERAGE DISTANCE BETWEEN TWO POINTS

✍ Scribed by BURGSTALLER, BERNHARD; PILLICHSHAMMER, FRIEDRICH


Book ID
115460897
Publisher
Australian Mathematical Society
Year
2009
Tongue
English
Weight
555 KB
Volume
80
Category
Article
ISSN
0004-9727

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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