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On the second smallest distance between finitely many points on the sphere

✍ Scribed by András Bezdek; Károly Bezdek

Publisher
Springer
Year
1989
Tongue
English
Weight
350 KB
Volume
29
Category
Article
ISSN
0046-5755

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✍ Michel Laurent; Dimitrios Poulakis 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 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