Difference sets and the primes

Mathematics – Classical Analysis and ODEs

Scientific paper

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19 pp. Corrected typos. Updated references.

Scientific paper

10.4064/aa131-3-5

Suppose that A is a subset of {1,...,N} such that the difference between any
two elements of A is never one less than a prime. We show that |A| = O(N
exp(-c(log N)^{1/4})) for some absolute c>0.

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