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›› 2002, Vol. 19 ›› Issue (4): 376-381.DOI: 10.7523/j.issn.2095-6134.2002.4.007

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On the Mean Value Formula of Dedekind Sums

REN Zheng Min1, LEI De Li2   

  1. 1. Beijing Institute of Petro Chemical Technology, Beijing 102600;
    2. Department of Mathematics, Northwest University, Xi’an 710069
  • Received:2002-01-09 Revised:2002-03-25 Online:2002-07-18

Abstract:

The main purpose is using the property of distribution of values of Dedekind sums to study the asymptotic propert ies of Dedekind sums. On the basis of J. B. Conreycs research, perfect the study of mean value problem of Dedekind sums in the form of 6|S( h,k)|n.

Key words: Dedekind sums, distribution of the mean value, asymptotic formula

CLC Number: