Sum-product estimates in finite fields
arXiv:math/0609426
Abstract
We prove, using combinatorics and Kloosterman sum technology that if , a finite field with elements, and , then $\max \{|A+A|, |A \cdot A|\} \gtrsim \frac{{|A|}^{3/2}}{q^{1/4}$.
arXiv:math/0609426
We prove, using combinatorics and Kloosterman sum technology that if , a finite field with elements, and , then $\max \{|A+A|, |A \cdot A|\} \gtrsim \frac{{|A|}^{3/2}}{q^{1/4}$.