UNITARY ANALOGUES OF A GENERALIZED NUMBER-THEORETIC SUM

被引：0

作者：

Intarawong, Traiwat ^{[1
]}

Yuttanan, Boonrod ^{[1
]}

机构：

[1] Prince Songkla Univ, Fac Sci, Div Computat Sci, Algebra & Applicat Res Unit, Hat Yai 90110, Thailand

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2023年 / 38卷 / 02期

关键词：

Arithmetic function; unitary divisor; Mobius function; Mobius inversion formula;

D O I：

10.4134/CKMS.c220139

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the sums of the elements in the finite set {xk : 1 < x < nm , gcdu(x, n) = 1}, where k, m and n are positive integers and gcdu(x, n) is the unitary greatest common divisor of x and n. Moreover, for some cases of k and m, we can give the explicit formulae for the sums involving some well-known arithmetic functions.

引用

页码：355 / 364

页数：10

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