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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…

math.NT2025

Polynomial configurations in dense subsets of the prime lattice

Andrew Lott, Ákos Magyar, Giorgis Petridis +1

We provide a multidimensional extension of previous results on the existence of polynomial progressions in dense subsets of the primes. Let be a subset of the prime lattice - t…