On a certain sum-product estimate in fields of prime order |
| |
Authors: | Bo Qing Xue |
| |
Institution: | 1. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, P. R. China
|
| |
Abstract: | Let \(\mathbb{F}_p \) be the finite field of p elements with p prime. If A is a subset of \(\mathbb{F}_p \) and g is an element of \(\mathbb{F}_p^* \) with order ν, then $\max \{ |A + g \cdot A|,|A \cdot A|\} \gg \left( {\frac{\nu } {{\nu + |A|^2 }}} \right)^{1/12} |{\rm A}|^{13/12} $ . |
| |
Keywords: | Sum-product estimate different sets fields of prime order |
本文献已被 CNKI 维普 SpringerLink 等数据库收录! |
|