On the Distribution of Values of Euler＇s Function over Integers in Arithmetic Progressions  

作　　者：FENG Bin 

机构地区：[1]School of Mathematics Sciences, Shanghai Jiaotong University, Shanghai 200240, China [2]College of Mathematics and Statistics, Yangtze Normal University, Chongqing 408100, China

出　　处：《Chinese Quarterly Journal of Mathematics》2017年第2期111-117,共7页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China（11271249）; Supported by the Scientific and Technological Research Program of Chongqing Municipal Education Commission（1601213）; Supported by the Scientific Research Program of Yangtze Normal University（2012XJYBO31）

摘　　要：Let φ(n) denote the Euler-totient function, we study the distribution of solutions of φ(n) ≤ x in arithmetic progressions, where n ≡ l(mod q) and an asymptotic formula was obtained by Perron formula.Let φ（n） denote the Euler-totient function, we study the distribution of solutions of φ（n） ≤ x in arithmetic progressions, where n ≡ l （mod q） and an asymptotic formula was obtained by Perron formula.

关 键 词：Perron formula Euler-totient function arithmetic progressions 

分 类 号：O156.4[理学—数学]