On the average number of unitary factors of finite abelian groups

Wenguang Zhai; Xiaodong Cao

Acta Arithmetica (1998)

  • Volume: 85, Issue: 4, page 293-300
  • ISSN: 0065-1036

How to cite

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Wenguang Zhai, and Xiaodong Cao. "On the average number of unitary factors of finite abelian groups." Acta Arithmetica 85.4 (1998): 293-300. <http://eudml.org/doc/207170>.

@article{WenguangZhai1998,
author = {Wenguang Zhai, Xiaodong Cao},
journal = {Acta Arithmetica},
keywords = {divisor functions; unitary factors of a finite abelian group; remainder in the divisor problem},
language = {eng},
number = {4},
pages = {293-300},
title = {On the average number of unitary factors of finite abelian groups},
url = {http://eudml.org/doc/207170},
volume = {85},
year = {1998},
}

TY - JOUR
AU - Wenguang Zhai
AU - Xiaodong Cao
TI - On the average number of unitary factors of finite abelian groups
JO - Acta Arithmetica
PY - 1998
VL - 85
IS - 4
SP - 293
EP - 300
LA - eng
KW - divisor functions; unitary factors of a finite abelian group; remainder in the divisor problem
UR - http://eudml.org/doc/207170
ER -

References

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  1. [1] R. C. Baker and G. Harman, Numbers with a large prime factor, Acta Arith. 73 (1995), 119-145. 
  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. Krätzel, On the average number of direct factors of a finite Abelian group, Acta Arith. 51 (1988), 369-379. Zbl0633.10044
  4. [4] H. Q. Liu, The distribution of 4-full numbers, Acta Arith. 67 (1994), 165-176. Zbl0810.11053
  5. [5] H. Q. Liu, On the number of abelian groups of a given order (supplement), Acta Arith. 64 (1993), 285-296. Zbl0790.11074
  6. [6] H. Q. Liu, On some divisor problems, Acta Arith. 68 (1994), 193-200. Zbl0817.11043
  7. [7] H. Menzer, Exponentialsummen und verallgemeinerte Teilerprobleme, Habilitationsschrift, FSU, Jena, 1992. 
  8. [8] P. G. Schmidt, Zur Anzahl unitärer Faktoren abelscher Gruppen, Acta Arith. 64 (1993), 237-248. 
  9. [9] W. G. Zhai and X. D. Cao, On the average number of direct factors of finite abelian groups, Acta Arith. 82 (1997), 45-55. Zbl0886.11054

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