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math.CO2019
Sylvester-Gallai type theorems for quadratic polynomials
Amir Shpilka
We prove Sylvester-Gallai type theorems for quadratic polynomials. Specifically, we prove that if a finite collection , of irreducible polynomials of degree at most …
math.CO2009
On the Structure of Cubic and Quartic Polynomials
Elad Haramaty, Amir Shpilka
In this paper we study the structure of polynomials of degree three and four that have high bias or high Gowers norm, over arbitrary prime fields. In particular we obtain the follo…