Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (2): 312-316.

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A New Compound Function and Its Mean Value

  

  1. School of Statistics, Xi’an University of Finance and Economics

  • Received:2005-04-28 Online:2010-06-30 Published:2023-06-06
  • About author:MA Jin-ping(1969-), female, native of Xi’an, Shaanxi, an associate professor of Xi’an University of Finance and Economics, M.S.D., engages in number theory.
  • Supported by:

     Sup

     

     Supported by NSF of China(10671155); Supported by SF of Education Department of Shannxi Province(08JK291);

Abstract: The main purpose of this paper is using the analytic method to study the mean value properties of the arithmetical functions δk((m,n)),δk([m,n]/m), and give several interesting asymptotic formulae for them.

Key words:  arithmetic function, mean value, asymptotic formula

CLC Number: