On a Certain Sum-product Estimate in Fields of Prime Order  

作　　者：Bo Qing XUE 

机构地区：[1]Academy of Mathematics and Systems Science,Chinese Academy of Sciences

出　　处：《Acta Mathematica Sinica,English Series》2014年第11期1861-1866,共6页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11271249);Specialized Research Fund for the Doctoral Program of Higher Education(Grant No.20120073110059)

摘　　要：Let Fp be the finite field of p elements with p prime.If A is a subset of Fp and g is an element of F＊p with order ν,then max{｜A ＋ g·A｜,｜A·A｜} （ν/（ν ＋ ｜A｜2） ）1/12｜A｜13/12.Let Fp be the finite field of p elements with p prime.If A is a subset of Fp and g is an element of F＊p with order ν,then max{｜A ＋ g·A｜,｜A·A｜} （ν/（ν ＋ ｜A｜2） ）1/12｜A｜13/12.

关 键 词：Sum-product estimate different sets fields of prime order 

分 类 号：O156[理学—数学]