短区间特征和的一些表达式  

The Explicit Formula for the Short-interval Character Sums

作　　者：王念良 WANG Nian-liang(School of Mathematics and Computer Application, Shangluo University, Institute of Applied Mathematics,Shangluo 726000, Shaanxi)

机构地区：[1]商洛学院数学与计算机应用学院/应用数学研究所,陕西商洛726000

出　　处：《商洛学院学报》2017年第6期1-3,7,共4页Journal of Shangluo University

基　　金：陕西省科技厅自然科学计划项目(2016JM1034)

摘　　要：研究了二次域实特征对应的短区间加权特征和的性质,用解析方法给出了二次域实特征对应的1/2,1/4短区间和的表达式,这些公式对研究某些特殊函数的性质有积极作用。The properties of the weighted short-interval character-sums associated to the quadratic field with real Dirichlet characters were studied,by the analytic method the explicit formula for the1/2-and1/4-short interval character-sums were obtained,these formula are useful in the research of some special functions.

关 键 词：短区间特征和 二次域实特征 勒让德符号 Dirichlet本原特征 

分 类 号：O156.4[理学—数学]