Pentti Haukkanen.Euler函数的一个组合-数论推广(英)[J].数学研究及应用,1997,17(4):519~523
Euler函数的一个组合-数论推广(英)
A Further Combinatorial Number Theoretic Extension of Euler′s Totient
投稿时间:1995-12-11  
DOI:10.3770/j.issn:1000-341X.1997.04.008
中文关键词:  
英文关键词:Euler′s totient  regular convolution  restricted sets of integers (mod n)
基金项目:
作者单位
Pentti Haukkanen Dept. of Math. Scis.; University of Tampere; P.O.Box 607; FIN-33101Tampere; Finland 
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中文摘要:
      
英文摘要:
      Recently, L.C.Hsu and Wang Jun generated new combinatorial number theoreticfunctions serving as generalizations of Euler′s totient. In this paper we form an extensive class of generalized Euler totients by translating the most general counting functions of Hsu and Wang on integers to the setting of Narkiewicz′s regular convolution. This class casts in the same framework various famous generalizations of Euler′s totient, such as Cohen′s totient, Jordan′s totient, Klee′s totient, Schemmel′s totient,Stevens′s to tient, the unitary analogue of Euler′s to tient and Euler′s to tient with respect to Narkiew icz′s regular convo lution.
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