算术级数中Lehmer　DH数的整除性  

DIVISIBILITY OF LEHMER DH NUMBER IN ARITHMETICAL PROGRESSION

作　　者：高丽[1] 赵贞[1] 王辉 胡志兴[1] 

机构地区：[1]延安大学数学系

出　　处：《郑州大学学报（理学版）》1996年第S2期32-35,共4页Journal of Zhengzhou University:Natural Science Edition

摘　　要：设ｑ≥３为奇数，对任意的整数１≤ａ＜ｑ且（ａ，ｑ）＝１，显然存在唯一的整数１≤ａ＜ｑ，使得ａａ≡１（ｍｏｄｑ），如果ａ与ａ具有相反的奇偶性，定义数ａ为ＬｅｈｍｅｒＤＨ数．本文研究了算术级数中ＬｅｈｍｅｒＤＨ数的整除性问题。Let q≥3 be a odd number ,for each 1≤<q with ( a,q )=1,it is clear that there exists one and only one 1≤ <q such that a≡1 (mod q ).Such number a is called as Lehmer DH number if a and are of opposite parity.This paper is to study the divisibility of Lehmer DH number in arithmetical progression,and give a asymptotic formula.

关 键 词：级数 LEHMERDH数 整除性 渐近公式 

分 类 号：O122.7[理学—数学]