On the Uniform Distribution in Residue C
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Mihail N Kolountzakis
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Article
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1999
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Elsevier Science
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English
β 95 KB
A set A [1, ..., N] is of the type B 2 if all sums a+b, with a b, a, b # A, are distinct. It is well known that the largest such set is of size asymptotic to N 1Γ2 . For a B 2 set A of this size we show that, under mild assumptions on the size of the modulus m and on the difference N 1Γ2 &| A | (the