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math.CO2025
Quasipolynomial bounds for the corners theorem
Michael Jaber, Yang P. Liu, Shachar Lovett +2
Let be a finite abelian group and be a subset of which is corner--free, meaning that there are no and such that …
math.CO2024
Corners in Quasirandom Groups via Sparse Mixing
Michael Jaber, Shachar Lovett, Anthony Ostuni
We improve the best known upper bounds on the density of corner-free sets over quasirandom groups from inverse poly-logarithmic to quasi-polynomial. We make similarly substantial i…