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- W2922528662 abstract "Let $mathbb{F}_q$ denote the finite field with $q$ elements where $q=p^l$ is a prime power. Using Fourier analytic tools with a third moment method, we obtain sum-product type estimates for subsets of $mathbb{F}_q$. In particular, we prove that if $Asubset mathbb{F}_q$, then $$|AA+A|,|A(A+A)|ggminleft{q, frac{|A|^2}{q^{frac{1}{2}}} right},$$ so that if $Age q^{frac{3}{4}}$, then $|AA+A|,|A(A+A)|gg q$." @default.
- W2922528662 created "2019-03-22" @default.
- W2922528662 creator A5015869600 @default.
- W2922528662 date "2019-03-19" @default.
- W2922528662 modified "2023-09-27" @default.
- W2922528662 title "Sum-Product Type Estimates over Finite Fields" @default.
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