Gcd-closed sets and determinants of matrices associated with arithmetical functions

被引：57

作者：

Hong, SF ^{[1
]}

机构：

[1] Sichuan Univ, Coll Math, Chengdu 610064, Peoples R China

来源：

关键词：

gcd-closed set; arithmetical function; Ramanujan's trigonometric sum; determinant;

D O I：

10.4064/aa101-4-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：321 / 332

页数：12

共 12 条

[1]

[Anonymous], 1998, SE ASIAN B MATH

[2] ARITHMETICAL PROPERTIES OF GENERALIZED RAMANUJAN SUMS [J].

APOSTOL, TM .

[3]

Apostol TM., 1998, INTRO ANAL NUMBER TH

[4] MATRICES ASSOCIATED WITH CLASSES OF ARITHMETICAL FUNCTIONS [J].

BOURQUE, K ;

LIGH, S .

[5]

BOURQUE K, 1992, LINEAR ALGEBRA APPL, V174, P65, DOI 10.1016/0024-3795(92)90060-N

[6] On the Bourque-Ligh conjecture of least common multiple matrices [J].

Hong, SF .

[7]

Lancaster P, 1985, THEORY MATRICES

[8]

MCCARTHY PJ, 1988, CANAD MATH B, V29, P109

[9]

RAMANATHAN KG, 1943, J INDIAN MATH SOC, V7, P111

[10] SEMI-MULTIPLICATIVE FUNCTIONS [J].

REARICK, D .