Prefer a chat interface with context about you and your work?
A POLYNOMIAL ROTH THEOREM FOR CORNERS IN FINITE FIELDS
We prove a Roth-type theorem for polynomial corners in the finite field setting. Let ϕ1 and ϕ2 be two polynomials of distinct degree. For sufficiently large primes p, any subset A ⊂ F p × F p with | A | > p 2 − 1 16 contains three points …