A Fourier-free combinatorial proof of Roth's theorem via density increments on sub-progressions.
Peluse,Recent progress on bounds for sets with no three terms in arithmetic progression, Ast´ erisque438(2022), Exp
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A Fourier-Free Density-Increment Proof of Roth's Theorem
A Fourier-free combinatorial proof of Roth's theorem via density increments on sub-progressions.