Any subset A of a finite field F of odd characteristic with size at least C times |F| to the 5/6 must contain a nontrivial quadratic progression x, x+y, x+y^2.
Peluse,On the polynomial Szemer´ edi theorem in finite fields, Duke Math
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
An improved non-linear Roth-type theorem in finite fields
Any subset A of a finite field F of odd characteristic with size at least C times |F| to the 5/6 must contain a nontrivial quadratic progression x, x+y, x+y^2.