157 citations · 642 across the 35 of their papers we have counts for
23 papers · 1 filter
The Wiener norm of lifts of dense Sidon sets
Tom Sanders
We describe, with proof, an infinite class of examples of finite sets of integers for which wh…
On inequivalences of sequences of characters
Tom Sanders
We establish various results including the following: if and is a bijection between the trigonometric functions on and the Walsh functions on . Then…
Coset decision trees and the Fourier algebra
Tom Sanders
We show that if G is a finite group and f is a {0,1}-valued function on G with Fourier algebra norm at most M then f may be computed by a coset decision tree (that is a decision tr…
Boolean functions with small spectral norm, revisited
Tom Sanders
We show that if is an integer-valued function with spectral norm at most then there are subspaces and signs such that $f=σ_1 1_…
The Erdos-Moser sum-free set problem
Tom Sanders
We show that if A is a finite set of integers then it has a subset S of size \log^{1+c} |A| (c>0 absolute) such that s+s' is never in A when s and s' are distinct elements of S.
Solving xz=yy in certain subsets of finite groups
Tom Sanders
We show that if G is a finite group and A is a subset of G with no non-trivial solutions to xz=yy then |A| < |G|/(log log |G|)^c.