Polynomial corners over finite field

Laurence P. Wijaya (University of Kentucky)

Sat Jul 18, 19:30-19:55 (8 days from now)
Lecture held in Science Center in the CUNY Graduate Center (4th floor).

Abstract: We study the size of subset $\mathbf{F}_p$ with $p$ primes goes to infinity not containing a configuration of the form $(x,y),(x+P(z),y),(x,y+P(z))$ for some polynomial $P$ of degree at least $3$. Similar result was found by Kravitz, Kuca, and Leng for the integer setting under some conditions. Our result provides better bound in the $\mathbf{F}_p$ setting.

number theory

Audience: researchers in the topic


Combinatorial and additive number theory seminar (CANT 2026)

Organizer: Mel Nathanson*
*contact for this listing

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