模N原根中LehmerDH数的分布及其整除性  

ON THE DISTRIBUTION OF LEHMER DH NUMBER AND ITS DIVISIBILITY IN PRIMITIVE ROOT MODULO N

作　　者：赵贞[1] 高丽[1] 

机构地区：[1]延安大学

出　　处：《纯粹数学与应用数学》1998年第2期88-90,共3页Pure and Applied Mathematics

摘　　要：设奇数ｎ≥３存在原根，对任意整数１≤ａ＜ｎ且（ｎ，ａ）＝１，显然存在唯一的整数１≤ａ＜ｎ使得ａａ≡１（ｍｏｄｎ）．如果ａ与ａ具有相反的奇偶性，定义数ａ为ＬｅｈｍｅｒＤＨ数．本文主要研究模ｎ原根中ＬｅｈｍｅｒＤＨ数的分布性质、整除性质，给出了两个有趣的渐近公式．? Let n≥3 be a odd number, and contains a primitive root, fot each 1≤a<n and (a,n)=1, it is clear that there exists one and only one 1≤a<n, such that aa≡1 ( mod n). The number is called as a lehmer DH number, if a and a are of opposite Parity. This paper studies the distribution properties and the divisibility of lehmer DH number, and gives two asymptotic formula. 

关 键 词：LEHMERDH数 原根 分布性质 整除性 

分 类 号：O156.4[理学—数学]