# On the number of abelian groups of a given order

Acta Arithmetica (1991)

- Volume: 59, Issue: 3, page 261-277
- ISSN: 0065-1036

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top## How to cite

topLiu, Hong-Quan. "On the number of abelian groups of a given order." Acta Arithmetica 59.3 (1991): 261-277. <http://eudml.org/doc/206381>.

@article{Liu1991,

author = {Liu, Hong-Quan},

journal = {Acta Arithmetica},

keywords = {asymptotic results; number of non-isomorphic Abelian groups; double exponential sums},

language = {eng},

number = {3},

pages = {261-277},

title = {On the number of abelian groups of a given order},

url = {http://eudml.org/doc/206381},

volume = {59},

year = {1991},

}

TY - JOUR

AU - Liu, Hong-Quan

TI - On the number of abelian groups of a given order

JO - Acta Arithmetica

PY - 1991

VL - 59

IS - 3

SP - 261

EP - 277

LA - eng

KW - asymptotic results; number of non-isomorphic Abelian groups; double exponential sums

UR - http://eudml.org/doc/206381

ER -

## Citations in EuDML Documents

top- Hong-Quan Liu, On the number of abelian groups of a given order (supplement)
- Manfred Kühleitner, Comparing the number of abelian groups and of semisimple rings of a given order
- Xiaodong Cao, Wenguang Zhai, The distribution of square-free numbers of the form $\left[{n}^{c}\right]$
- Hartmut Menzer, On the average number of direct factors of a finite abelian group (“sur les variété abéliennes”)
- Hong-Quan Liu, The number of cube-full numbers in an interval
- Hong-Quan Liu, The distribution of 4-full numbers
- Wenguang Zhai, Xiaodong Cao, On the average number of direct factors of finite abelian groups
- Hong-Quan Liu, On some divisor problems
- Hong-Quan Liu, On a fundamental result in van der Corput's method of estimating exponential sums

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