On the average number of direct factors of finite abelian groups

Wenguang Zhai; Xiaodong Cao

Acta Arithmetica (1997)

  • Volume: 82, Issue: 1, page 45-55
  • ISSN: 0065-1036

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Wenguang Zhai, and Xiaodong Cao. "On the average number of direct factors of finite abelian groups." Acta Arithmetica 82.1 (1997): 45-55. <http://eudml.org/doc/207077>.

@article{WenguangZhai1997,
author = {Wenguang Zhai, Xiaodong Cao},
journal = {Acta Arithmetica},
keywords = {arithmetic functions; number of direct factors of a finite abelian group},
language = {eng},
number = {1},
pages = {45-55},
title = {On the average number of direct factors of finite abelian groups},
url = {http://eudml.org/doc/207077},
volume = {82},
year = {1997},
}

TY - JOUR
AU - Wenguang Zhai
AU - Xiaodong Cao
TI - On the average number of direct factors of finite abelian groups
JO - Acta Arithmetica
PY - 1997
VL - 82
IS - 1
SP - 45
EP - 55
LA - eng
KW - arithmetic functions; number of direct factors of a finite abelian group
UR - http://eudml.org/doc/207077
ER -

References

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  1. [1] R. C. Baker, The square-free divisor problem II, Quart. J. Math. Oxford Ser. (2) 47 (1996), 133-146. Zbl0866.11053
  2. [2] E. Cohen, On the average number of direct factors of a finite abelian group, Acta Arith. 6 (1960), 159-173. Zbl0113.25305
  3. [3] E. Fouvry and H. Iwaniec, Exponential sums with monomials, J. Number Theory 33 (1989), 311-333. Zbl0687.10028
  4. [4] C.-H. Jia, On the distribution of square-free numbers (II), Sci. China Ser. A 8 (1992), 812-827. 
  5. [5] E. Krätzel, On the average number of direct factors of a finite Abelian group, Acta Arith. 51 (1988), 369-379. Zbl0633.10044
  6. [6] H.-Q. Liu, On the number of abelian groups of a given order, Acta Arith. 59 (1991), 261-277. Zbl0737.11024
  7. [7] H.-Q. Liu, Divisor problems of 4 and 3 dimensions, Acta Arith. 73 (1995), 249-269. Zbl0846.11056
  8. [8] H.-Q. Liu, The distribution of 4-full numbers, Acta Arith. 67 (1994), 165-176. 
  9. [9] H. Menzer, Vierdimensionale Gitterpunktprobleme I, II, Forschungsergebnisse, FSU, Jena, N/89/38, N/89/02. 
  10. [10] H. Menzer and R. Seibold, On the average number of direct factors of a finite Abelian group, Monatsh. Math. 110 (1990), 63-72. Zbl0731.11054
  11. [11] J. D. Vaaler, Some extremal problems in Fourier analysis, Bull. Amer. Math. Soc. 12 (1985), 183-216. Zbl0575.42003
  12. [12] M. Vogts, Many-dimensional generalized divisor problems, Math. Nachr. 124 (1985), 103-121. Zbl0595.10034
  13. [13] G. Yu, On the number of direct factors of finite abelian groups, Acta Math. Sinica 37 (1994), 663-670. Zbl0820.11056

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