Euler函数值在算术级数中的分布

冯彬

doi:10.13371/j.cnki.chin.q.j.m.2017.02.001

数学季刊 >

2017 , Vol. 32 >Issue 2: 111 - 117

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.02.001

Euler函数值在算术级数中的分布

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School of Mathematics Sciences, Shanghai Jiaotong University. College of Mathematics and Statistics, Yangtze Normal University

FENG Bin(1976-), male, native of Xichong, Sichuan, a lecturer of Yangtze Normal University, Ph.D., engages in analytic number theory.

收稿日期: 2015-12-06

网络出版日期: 2020-10-23

基金资助

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)；

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

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School of Mathematics Sciences, Shanghai Jiaotong University. College of Mathematics and Statistics, Yangtze Normal University

FENG Bin(1976-), male, native of Xichong, Sichuan, a lecturer of Yangtze Normal University, Ph.D., engages in analytic number theory.

Received date: 2015-12-06

Online published: 2020-10-23

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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.

关键词： Perron formula; Euler-totient function; arithmetic progressions

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冯彬 .

Euler函数值在算术级数中的分布

[J]. 数学季刊, 2017 , 32(2) : 111 -117 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.02.001

Abstract

Key words： Perron formula; Euler-totient function; arithmetic progressions

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Euler函数值在算术级数中的分布

摘要

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Euler函数值在算术级数中的分布

Abstract