On the average number of unitary factors of finite abelian groups

Acta Arithmetica

Volumn 84, Issue 1, 1998, Pages 17-29

  Wu, J ^a  

^a UNIVERSITÉ HENRI POINCARÉ NANCY 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032337804     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-84-1-17-29     Document Type: Article

References (13)

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, ibid. 6 (1960), 159-173.
3. E. Fouvry and H. Iwaniec, Exponential sums with monomials, J. Number Theory 33 (1989), 311-333.
4. S. W. Graham and G. Kolesnik, Van der Corput's Method of Exponential Sums, Cambridge Univ. Press, Cambridge, 1991.
5. C. H. Jia, The distribution of square-free numbers, Sci. China Ser. A 36 (1993), 154-169.
6. G. Kolesnik, On the number of abelian groups of a given order, J. Reine Angew. Math. 329 (1981), 164-175.
7. E. Krätzel, On the average number of direct factors of a finite abelian group, Acta Arith. 51 (1988), 369-379.
8. H.-Q. Liu, The greatest prime factor of the integers in an interval, ibid. 65 (1993), 302-328.
9. _, On some divisor problems, ibid. 68 (1994), 193-200.
10. _, Divisor problems of 4 and 3 dimensions, ibid. 73 (1995), 249-269.
11. P. G. Schmidt, Zur Anzahl unitärer Faktoren abelscher Gruppen, ibid. 64 (1993), 237-248.
12. P. Sargos and J. Wu, Multiple exponential sums with monomials and their applications in number theory, Prépublications 97/no 37 de l'Institut Élie Cartan, Université Henri Poincaré (Nancy 1).
13. J. Wu, On the distribution of square-full and cube-full integers, Monatsh. Math., to appear.