Divisor problems of 4 and 3 dimensions
Acta Arithmetica (1995)
- Volume: 73, Issue: 3, page 249-269
- ISSN: 0065-1036
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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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