# On some divisor problems

Acta Arithmetica (1994)

- Volume: 68, Issue: 2, page 193-200
- ISSN: 0065-1036

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top## How to cite

topHong-Quan Liu. "On some divisor problems." Acta Arithmetica 68.2 (1994): 193-200. <http://eudml.org/doc/206654>.

@article{Hong1994,

author = {Hong-Quan Liu},

journal = {Acta Arithmetica},

keywords = {asymptotic results; estimations of exponential sums; divisor functions; average order; number of direct and unitary factors of a finite abelian group},

language = {eng},

number = {2},

pages = {193-200},

title = {On some divisor problems},

url = {http://eudml.org/doc/206654},

volume = {68},

year = {1994},

}

TY - JOUR

AU - Hong-Quan Liu

TI - On some divisor problems

JO - Acta Arithmetica

PY - 1994

VL - 68

IS - 2

SP - 193

EP - 200

LA - eng

KW - asymptotic results; estimations of exponential sums; divisor functions; average order; number of direct and unitary factors of a finite abelian group

UR - http://eudml.org/doc/206654

ER -

## References

top- [1] M. N. Huxley, Exponential sums and lattice points II, Proc. London Math. Soc. 66 (1993), 279-301. Zbl0820.11060
- [2] E. Krätzel, On the average number of direct factors of a finite Abelian group, Acta Arith. 51 (1988), 369-379. Zbl0633.10044
- [3] H.-Q. Liu, On the number of abelian groups of a given order, Acta Arith. 59 (1991), 261-277. Zbl0737.11024
- [4] H.-Q. Liu, On the number of abelian groups of a given order (supplement), Acta Arith. 64 (1993), 285-296.
- [5] H.-Q. Liu, The number of squarefull numbers in an interval, Acta Arith. 64 (1993), 129-149.
- [6] H.-Q. Liu, The greatest prime factor of the integers in an interval, Acta Arith. 65 (1993), 301-328. Zbl0797.11071
- [7] H.-Q. Liu, The number of cube-full numbers in an interval, Acta Arith. 67 (1994), 1-12.
- [8] H.-Q. Liu, The distribution of 4-full numbers, Acta Arith. 67 (1994), 165-176.
- [9] 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
- [10] P. G. Schmidt, Zur Anzahl unitärer Faktoren abelscher Gruppen, Acta Arith. 64 (1993), 237-248.

## Citations in EuDML Documents

top- Hong-Quan Liu, Divisor problems of 4 and 3 dimensions
- Wenguang Zhai, Xiaodong Cao, On the average number of unitary factors of finite abelian groups
- Hong-Quan Liu, On a fundamental result in van der Corput's method of estimating exponential sums
- J. Wu, On the average number of unitary factors of finite abelian groups

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