19 citations · 31 across the 6 of their papers we have counts for
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math.CO2001
On sets of integers not containing long arithmetic progressions
Izabella Laba, Michael T. Lacey
We construct subsets of {1,...,N} of cardinality at least N exp(-C(log N)^{1/(k+1)}) which do not contain arithmetic progressions of length 2^k+1. This extends a result of Behrend…
math.CA2001
Carleson's theorem with quadratic phase
Michael Lacey
Carleson's theorem on the pointwise convergence of Fourier series provides bounds for a maximal operator, with the maximum taken over all choices of linear functions of a phase arg…