Difference sets and shifted primes

Details Difference sets and shifted primes Difference sets and shifted primes

2007-05-25

arxiv.org/abs/0705.3749v1

Mathematics

Number Theory

22 pages

Scientific paper

We show that if A is a subset of {1, ..., n} such that it has no pairs of
elements whose difference is equal to p-1 with p a prime number, then the size
of A is O(n(loglog n)^(-clogloglogloglog n)) for some positive constant c.

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