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On sums of distinct integers belonging to certain sequences

✍ Scribed by A. Perelli; U. Zannier


Publisher
Akadmiai Kiad
Year
1983
Tongue
English
Weight
181 KB
Volume
41
Category
Article
ISSN
1588-2632

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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 1Γ‚2 . 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 1Γ‚2 &| A | (the