3 papers
math.CO2026
Refined upper bounds on Schur-like numbers
Swaroop Hegde, Andrew Lott, Giorgis Petridis +1
For positive integers and , every -coloring of contains a monochromatic solution to provided that $N \ge 3^r (r!)^{…
math.NT2026
Extensions of the Furstenberg-Sárközy theorem via the arithmetic level- inequality
Carlo Francisco E. Adajar, Rishika Agrawal, Mukul Rai Choudhuri +6
Very recently, Green and Sawhney obtained a quasipolynomial bound in the Furstenberg--Sárközy theorem for square differences by proving an ''arithmetic level-'' inequality, th…
math.CO2025
An inverse and a stability result for Ruzsa's inequality on triple sumsets
Swaroop Hegde
Ruzsa's inequality states that for any finite set in a commutative group. Ruzsa has constructed examples showing that this inequality is sharp asympt…