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On Leveque’s theorem about the uniform distribution (MOD 1) of (ajcosajx)j=1/∞

✍ Scribed by R. Nair


Book ID
112893954
Publisher
The Hebrew University Magnes Press
Year
1989
Tongue
English
Weight
474 KB
Volume
65
Category
Article
ISSN
0021-2172

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On the Integer Part Function and Uniform
✍ G.J. Rieger 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 329 KB

In this paper we seak to study the discrepancy and consequently the uniform distribution mod 1 of two types of sequences. For this purpose we denote by [ ] the integer part function. For real c with 1<c< 3 2 take (![n c ] : n=1, 2, 3, ...); here the real ! is badly approximable in the sense of \*-ad