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On the gap structure of sequences of points on a circle

✍ Scribed by Lyle Ramshaw


Book ID
108046915
Publisher
Elsevier Science
Year
1978
Weight
838 KB
Volume
81
Category
Article
ISSN
1385-7258

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On the gap structure of sequences of poi
✍ Lyle Ramshaw πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science βš– 831 KB

Considerable mathematical effort h as gone in t o studying seq uences of points in t.he interval [0, I) which are even ly di stributed, in the se ns e that cer t a in interval s contain rou ghl y the correct percentages of t he first n points. This paper ex plores the related notion in which a seque

Distribution of points on the circle
✍ Øystein J. RΓΈdseth πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 129 KB

In connection with the proof of his celebrated "2.4-Theorem", Freiman proved that if Ξ± 1 , . . . , Ξ± N are real numbers such that each interval [u, u+1/2) contains at most n of the Ξ± j mod 1, then | N j =1 exp(2Ο€iΞ± j )| 2n -N . Freiman's result was extended by Moran and Pollington, and recently by L