Distribution of points on the circle
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Øystein J. Rødseth
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Article
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2007
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Elsevier Science
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English
⚖ 129 KB
In connection with the proof of his celebrated "2.4-Theorem", Freiman proved that if α 1 , . . . , α N are real numbers such that each interval [u, u+1/2) contains at most n of the α j mod 1, then | N j =1 exp(2πiα j )| 2n -N . Freiman's result was extended by Moran and Pollington, and recently by L