157 citations · 642 across the 35 of their papers we have counts for
Showing 2007Show all
3 papers · 1 filter
math.CA2007
A Freiman-type theorem for locally compact abelian groups
Tom Sanders
We prove a Freiman-type theorem for locally compact abelian groups. If A is a subset of a locally compact abelian group with Haar measure m and m(nA) < n^dm(A) for all n>d log d th…
math.CA2007★ 27 cited
Difference sets and the primes
Imre Z. Ruzsa, Tom Sanders
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…
math.CA2007★ 21 cited
Appendix to 'Roth's theorem on progressions revisited' by J Bourgain
Tom Sanders
We show two results. First, a refinement of Freiman's theorem: if A is a finite set of integers and |A+A| < K|A|, then A is contained in a multidimensional progression of dimension…