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math.NT2023
On a conjecture of Marton
W. T. Gowers, Ben Green, Freddie Manners +1
We prove a conjecture of K. Marton, widely known as the polynomial Freiman--Ruzsa conjecture, in characteristic . The argument extends to odd characteristic, with details to fol…
math.CO2023
Low-complexity approximations for sets defined by generalizations of affine conditions
W. T. Gowers, Thomas Karam
Let be a prime, let be a non-empty subset of and let . We show that there exists a constant such that for every positive integer ,…