C. Pohoata

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20242026

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math.NT2026

Split primes and the Elekes-RÃ³nyai problem

Cosmin Pohoata

There exist an absolute constant $c > 0$ and arbitrarily large finite sets $A \subset R$ with ${x + y + (x - y)^{2} : x, y \in A} \leq ∣ A ∣^{2 - c} .$ Since $x…

math.NT2026

A combinatorial large sieve for Sidon sets, distances, and norm forms

Ernie Croot, Junzhe Mao, Cosmin Pohoata +2

We develop a new combinatorial large sieve method for sets with bounded algebraic multiplicities. The method exploits algebraic splitting modulo many small primes: local congruence…