Of a Set of Integers

Abstract

For r-~2 let p(n, r ) denote the maximum cardinality of a subset A of N = { 1 , 2 . . . . , n} such that there are no B c A and an integer y with S b = y ' . I t is shown that for any e >-0 and bEB n>-n(e), (l+o(l))2~/t'+l>n('-l>/t'+l)~_p(n, r)~_n~§ for all r_~5, and that for every fixed r~_6, p(n,r)=(l+o(1)).21/t'+~)n (~-1)/('§ as n ~ . Let f(n,m) denote t… (More)

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Cite this paper

@inproceedings{Freiman1987OfAS, title={Of a Set of Integers}, author={Gregory Freiman}, year={1987} }