Distribution of Geometric Sequences Modulo 1
โ Scribed by Hajime Kaneko
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 527 KB
- Volume
- 52
- Category
- Article
- ISSN
- 1422-6383
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we study the notion of \(s(N)\)-uniform distribution of sequences modulo 1 which sharpens resp. quantifies the notion of complete uniform distribution. A trivial necessary condition for the existence of \(s(N)\)-u.d. sequences is \(s(N)=o(N)\). On the other hand \(s(N)=o(\sqrt{N / \log
The aim of this paper is to provide detailed estimates for the discrepancy of the sequences ([: } s q (n)]) ([x] denotes the fractional part of x) and results concerning the uniform distribution and the discrepancy of the sequences ([: 1 } s q 1 (n)], ..., [: d } s q d (n)]), where :, : 1 , ..., : d