# On the average number of unitary factors of finite abelian groups

Acta Arithmetica (1998)

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

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top## How to cite

topWenguang 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

top- [1] R. C. Baker and G. Harman, Numbers with a large prime factor, Acta Arith. 73 (1995), 119-145.
- [2] E. Cohen, On the average number of direct factors of a finite abelian group, Acta Arith. 6 (1960), 159-173. Zbl0113.25305
- [3] E. Krätzel, On the average number of direct factors of a finite Abelian group, Acta Arith. 51 (1988), 369-379. Zbl0633.10044
- [4] H. Q. Liu, The distribution of 4-full numbers, Acta Arith. 67 (1994), 165-176. Zbl0810.11053
- [5] H. Q. Liu, On the number of abelian groups of a given order (supplement), Acta Arith. 64 (1993), 285-296. Zbl0790.11074
- [6] H. Q. Liu, On some divisor problems, Acta Arith. 68 (1994), 193-200. Zbl0817.11043
- [7] H. Menzer, Exponentialsummen und verallgemeinerte Teilerprobleme, Habilitationsschrift, FSU, Jena, 1992.
- [8] P. G. Schmidt, Zur Anzahl unitärer Faktoren abelscher Gruppen, Acta Arith. 64 (1993), 237-248.
- [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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