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

Acta Arithmetica (1998)

- Volume: 84, Issue: 1, page 17-29
- ISSN: 0065-1036

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topJ. Wu. "On the average number of unitary factors of finite abelian groups." Acta Arithmetica 84.1 (1998): 17-29. <http://eudml.org/doc/207131>.

@article{J1998,

author = {J. Wu},

journal = {Acta Arithmetica},

keywords = {unsymmetric divisor functions; unitary factors; finite abelian groups; double exponential sum},

language = {eng},

number = {1},

pages = {17-29},

title = {On the average number of unitary factors of finite abelian groups},

url = {http://eudml.org/doc/207131},

volume = {84},

year = {1998},

}

TY - JOUR

AU - J. Wu

TI - On the average number of unitary factors of finite abelian groups

JO - Acta Arithmetica

PY - 1998

VL - 84

IS - 1

SP - 17

EP - 29

LA - eng

KW - unsymmetric divisor functions; unitary factors; finite abelian groups; double exponential sum

UR - http://eudml.org/doc/207131

ER -

## References

top- [1] R. C. Baker and G. Harman, Numbers with a large prime factor, Acta Arith. 73 (1995), 119-145.
- [2] E. Cohen, On the average number of direct factors of a finite abelian group, Acta Arith. 6 (1960), 159-173. Zbl0113.25305
- [3] E. Fouvry and H. Iwaniec, Exponential sums with monomials, J. Number Theory 33 (1989), 311-333. Zbl0687.10028
- [4] S. W. Graham and G. Kolesnik, Van der Corput's Method of Exponential Sums, Cambridge Univ. Press, Cambridge, 1991. Zbl0713.11001
- [5] C. H. Jia, The distribution of square-free numbers, Sci. China Ser. A 36 (1993), 154-169. Zbl0772.11033
- [6] G. Kolesnik, On the number of abelian groups of a given order, J. Reine Angew. Math. 329 (1981), 164-175. Zbl0467.10035
- [7] E. Krätzel, On the average number of direct factors of a finite abelian group, Acta Arith. 51 (1988), 369-379. Zbl0633.10044
- [8] H.-Q. Liu, The greatest prime factor of the integers in an interval, Acta Arith. 65 (1993), 302-328.
- [9] H.-Q. Liu, On some divisor problems, Acta Arith. 68 (1994), 193-200. Zbl0817.11043
- [10] H.-Q. Liu, Divisor problems of 4 and 3 dimensions, Acta Arith. 73 (1995), 249-269. Zbl0846.11056
- [11] P. G. Schmidt, Zur Anzahl unitärer Faktoren abelscher Gruppen, Acta Arith. 64 (1993), 237-248.
- [12] P. Sargos and J. Wu, Multiple exponential sums with monomials and their applications in number theory, Prépublications 97/n°37 de l'Institut Élie Cartan, Université Henri Poincaré (Nancy 1). Zbl0963.11045
- [13] J. Wu, On the distribution of square-full and cube-full integers, Monatsh. Math., to appear. Zbl0917.11044

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