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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…
math.NT2019
Refined Estimates Concerning Sumsets Contained in the Roots of Unity
Brandon Hanson, Giorgis Petridis
We prove that the clique number of the Paley graph is at most , and that any supposed additive decompositions of the set of quadratic residues can only come from co…