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 . Assuming that n Γ we derive the asymptotic distributions of the functions n 2 \ n (x) and n\ n (x$Γn), 0 x$ n. We also establish the asymptotics for 1 0 \ $ n (x) dx, for all real $
The distribution of Farey points
β Scribed by H. Niederreiter
- Publisher
- Springer
- Year
- 1973
- Tongue
- English
- Weight
- 185 KB
- Volume
- 201
- Category
- Article
- ISSN
- 0025-5831
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