ON SUMS INVOLVING THE EULER TOTIENT FUNCTION

被引：0

作者：

Kiuchi, Isao ^{[1
]}

Tsuruta, Yuki ^{[2
]}

机构：

[1] Yamaguchi Univ, Fac Sci, Dept Math Sci, Yoshida 1677-1, Yamaguchi 7538512, Japan

[2] Oita Univ, Grad Sch Engn, 700 Dannoharu, Oita 8701192, Japan

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2024年 / 109卷 / 03期

关键词：

gcd-sum function; Euler totient function; Dirichlet series; divisor function; Lindelof hypothesis; asymptotic results on arithmetical functions; EXPONENTIAL-SUMS;

D O I：

10.1017/S0004972723000825

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let gcd(n(1), ... , n(k)) denote the greatest common divisor of positive integers n(1), ... , n(k) and let 0 be the Euler totient function. For any real number x > 3 and any integer k >= 2, we investigate the asymptotic behaviour of Z(n)1...(n)k <= x0(gcd(n(1), ... , n(k))).

引用

页码：486 / 497

页数：12

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