# Divisor problems of 4 and 3 dimensions

Acta Arithmetica (1995)

- Volume: 73, Issue: 3, page 249-269
- ISSN: 0065-1036

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top## How to cite

topHong-Quan Liu. "Divisor problems of 4 and 3 dimensions." Acta Arithmetica 73.3 (1995): 249-269. <http://eudml.org/doc/206820>.

@article{Hong1995,

author = {Hong-Quan Liu},

journal = {Acta Arithmetica},

keywords = {asymptotic expansion; divisor functions; 4-full numbers; number of direct factors; number of unitary factors; finite abelian group; estimating exponential sums},

language = {eng},

number = {3},

pages = {249-269},

title = {Divisor problems of 4 and 3 dimensions},

url = {http://eudml.org/doc/206820},

volume = {73},

year = {1995},

}

TY - JOUR

AU - Hong-Quan Liu

TI - Divisor problems of 4 and 3 dimensions

JO - Acta Arithmetica

PY - 1995

VL - 73

IS - 3

SP - 249

EP - 269

LA - eng

KW - asymptotic expansion; divisor functions; 4-full numbers; number of direct factors; number of unitary factors; finite abelian group; estimating exponential sums

UR - http://eudml.org/doc/206820

ER -

## References

top- [1] H.-Q. Liu, On the number of abelian groups of a given order (supplement ), Acta Arith. 64 (1993), 285-296.
- [2] H.-Q. Liu, The greatest prime factor of the integers in an interval, Acta Arith. 65 (1993), 301-328. Zbl0797.11071
- [3] H.-Q. Liu, The distribution of 4-full numbers, Acta Arith. 67 (1994), 165-176.
- [4] H.-Q. Liu, On some divisor problems, Acta Arith. 68 (1994), 193-200. Zbl0817.11043
- [5] H.-Q. Liu, The number of squarefull numbers in an interval, Acta Arith. 64 (1993), 129-149.

## Citations in EuDML Documents

top- Aleksandar Ivić, On the number of subgroups of finite abelian groups
- Wenguang Zhai, Xiaodong Cao, On the average number of direct factors of finite abelian groups
- Hong-Quan Liu, On a fundamental result in van der Corput's method of estimating exponential sums
- Wenguang Zhai, On the average number of direct factors of finite abelian groups (II)
- J. Wu, On the average number of unitary factors of finite abelian groups

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