2 papers
math.NT2026
Extensions of the Furstenberg-Sárközy theorem via the arithmetic level- inequality
Carlo Francisco E. Adajar, Rishika Agrawal, Mukul Rai Choudhuri +6
Green and Sawhney recently obtained a quasipolynomial bound in the Furstenberg--Sárközy theorem for square differences by proving an ``arithmetic level-d'' inequality, thereby yiel…
math.NT2026
More on the sum-product problem for integers with few prime factors
Rishika Agrawal, Thomas F. Bloom, Giorgis Petridis
We show that if is a finite set of integers in which every integer is divisible by many primes then \[\max(\lvert A+A\rvert,\lvert AA\rvert) \geq \lver…