虚二次域上近整值的完全可乘复值函数(英文)  

Completely multiplicative complex valued functions with nearlyintegral values in imaginary quadratic fields

作　　者：王锦瑞[1] 

机构地区：[1]陕西学前师范学院数学系,陕西西安710100

出　　处：《西安工程大学学报》2013年第4期516-519,共4页Journal of Xi’an Polytechnic University

摘　　要：研究了高斯整值域中完全可乘函数,并利用初等和解析的方法,对此类函数做了推广.定义了一些在虚二次域中近整值的完全可乘复值函数,并且获得了它们的分布定理.To study the related references about the completely multiplicative functions with Gaussian integer values,the paper does some generalized work by using the elementary and analytic method.The author determines completely multiplicative complex valued functions with nearly integral values in imaginary quadratic field,obtains some new distributed theorems.

关 键 词：可乘函数 虚二次域 代数数 皮索数 

分 类 号：O156.4[理学—数学]