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Sets of exact approximation order by rational numbers

✍ Scribed by Yann Bugeaud


Publisher
Springer
Year
2003
Tongue
English
Weight
201 KB
Volume
327
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES


Approximation of Real Numbers by Rationa
✍ Pavel Kargaev; Anatoly Zhigljavsky πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 591 KB

Let x be a real number in [0, 1], F n be the Farey sequence of order n and \ n (x) be the distance between x and F n . The first result concerns the average rate of approximation: The second result states that any badly approximable number is better approximable by rationals than all numbers in ave