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Asymptotic Formulae for Sums of Reciprocals of Some Multiplicative Functions


Affiliations
1 Department of Mathematics, Pondicherry Engineering College, Pillaichavady, Pondicherry-605104, India
2 Department of Mathematics, University of Alberta, Edmonton, Alberta T6G 2G1, Canada
     

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Throughout this paper, m denotes a positive integral variable, p denotes a prime number and x denotes a real variable ≥3.

A divisor d of m is called unitary [1] if d and m/d are relatively prime. We write dm to mean that d is a unitary divisor of m.
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  • Asymptotic Formulae for Sums of Reciprocals of Some Multiplicative Functions

Abstract Views: 221  |  PDF Views: 0

Authors

V. Sitaramaiah
Department of Mathematics, Pondicherry Engineering College, Pillaichavady, Pondicherry-605104, India
M. V. Subbarao
Department of Mathematics, University of Alberta, Edmonton, Alberta T6G 2G1, Canada

Abstract


Throughout this paper, m denotes a positive integral variable, p denotes a prime number and x denotes a real variable ≥3.

A divisor d of m is called unitary [1] if d and m/d are relatively prime. We write dm to mean that d is a unitary divisor of m.