一类有理算术函数及其组合意义（英） A Class of Rational Arithmetical Functions with Combinatorial Meanings期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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一类有理算术函数及其组合意义（英）

作者姓名：	Pentti Haukkanen

摘要：	An arithmetical function f is said to be a rational arithmetical function of order (s,r) if there existcompletely multiplicative functions f₁,f₂,…,f_s and g₁,g₂,…,g_r such thatf=f₁f₂… f_s(g₁)^-1(g₂)^-1… (g_r) -1 ,where is the Dirichlet convolution. Recently, L.C. Hsu and Wang Jun studied combinatorial meanings of rational arithmetical functions of order (1,r) . We study these meanings in the setting of Narkiewicz's regular convolution.
收稿时间：	1995/12/11 0:00:00
A Class of Rational Arithmetical Functions with Combinatorial Meanings

Pentti Haukkanen.A Class of Rational Arithmetical Functions with Combinatorial Meanings[J].Journal of Mathematical Research with Applications,1997,17(2):179-184.

Authors:	Pentti Haukkanen

Institution:	Dept. of Math. Scis.; Univ. of Tampere; P.O.Box 607; FIN 33101 Tampere; Finland

Abstract:

Keywords:	Euler totient function regular convolutions multiplicative functions

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