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

Acta Arithmetica (1997)

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

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topWenguang 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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- [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. Zbl0731.11054
- [11] J. D. Vaaler, Some extremal problems in Fourier analysis, Bull. Amer. Math. Soc. 12 (1985), 183-216. Zbl0575.42003
- [12] M. Vogts, Many-dimensional generalized divisor problems, Math. Nachr. 124 (1985), 103-121. Zbl0595.10034
- [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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