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Distribution of points on the circle

✍ Scribed by Øystein J. Rødseth

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
129 KB
Volume
127
Category
Article
ISSN
0022-314X

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✦ Synopsis

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 Lev. This paper contains further extensions.

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