157 citations · 642 across the 35 of their papers we have counts for
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Popular difference sets
Tom Sanders
We provide further explanation of the significance of a construction in a recent paper of Wolf [Israel J. Math. 179 (2010), 253-278] in the context of the problem of finding large…
Chowla's cosine problem
Tom Sanders
Suppose that G is a discrete abelian group and A is a finite symmetric subset of G. We show two main results. i) Either there is a set H of O(log^c|A|) subgroups of G with |A \tria…
Roth's theorem in Z_4^n
Tom Sanders
We show that if A is a subset of Z_4^n containing no three-term arithmetic progression in which all the elements are distinct then |A|=o(4^n/n).
On a theorem of Shkredov
Tom Sanders
We show that if A is a finite subset of an abelian group with additive energy at least c|A|^3 then there is a subset L of A with |L|=O(c^{-1}\log |A|) such that |A \cap Span(L)| >>…