ArticleOriginal scientific text

Title

On the average number of direct factors of finite abelian groups

Authors 1, 2

Affiliations

  1. Department of Mathematics, Shandong Normal University, Jinan, Shandong 250014, P.R. China
  2. Beijing Petro-Chemical, Engineering College, Daxing, Beijing 102600, P.R. China

Bibliography

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  4. C.-H. Jia, On the distribution of square-free numbers (II), Sci. China Ser. A 8 (1992), 812-827.
  5. E. Krätzel, On the average number of direct factors of a finite Abelian group, Acta Arith. 51 (1988), 369-379.
  6. H.-Q. Liu, On the number of abelian groups of a given order, Acta Arith. 59 (1991), 261-277.
  7. H.-Q. Liu, Divisor problems of 4 and 3 dimensions, Acta Arith. 73 (1995), 249-269.
  8. H.-Q. Liu, The distribution of 4-full numbers, Acta Arith. 67 (1994), 165-176.
  9. H. Menzer, Vierdimensionale Gitterpunktprobleme I, II, Forschungsergebnisse, FSU, Jena, N/89/38, N/89/02.
  10. H. Menzer and R. Seibold, On the average number of direct factors of a finite Abelian group, Monatsh. Math. 110 (1990), 63-72.
  11. J. D. Vaaler, Some extremal problems in Fourier analysis, Bull. Amer. Math. Soc. 12 (1985), 183-216.
  12. M. Vogts, Many-dimensional generalized divisor problems, Math. Nachr. 124 (1985), 103-121.
  13. G. Yu, On the number of direct factors of finite abelian groups, Acta Math. Sinica 37 (1994), 663-670.
Pages:
45-55
Main language of publication
English
Received
1996-07-15
Accepted
1997-03-20
Published
1997
Exact and natural sciences