Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (3): 325-329.

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Some Hybrid Mean Values of a New Number Theoretic Function

  

  1. Department of Mathematics,Northwest University
  • Received:2005-09-15 Online:2008-09-30 Published:2023-09-19
  • About author:REN Gang-lian(1970- ), male, native of Xianyang, Shaanxi, a lecturer of Xianyang Normal College, Ph.D., engages in number theory
  • Supported by:
    Supported by the NSF(60472068);Supported by the PSF of China(2004A09);

Abstract: Let p and q be two distinct primes, epq(n) denotes the largest exponent of power pq which divides n. In this paper, we study the mean value properties of function epq(n), and give some hybrid mean value formulas for epq(n) and Dirichlet divisor function d(n).

Key words:  largest exponent, asymptotic formula, hybrid mean value, Dirichlet divisor
function d(n)

CLC Number: