On the average number of direct factors of finite abelian groups (II)
Wenguang Zhai
Acta Arithmetica, Tome 89 (1999), p. 69-78 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:207315 
@article{bwmeta1.element.bwnjournal-article-aav90i1p69bwm,
     author = {Wenguang Zhai},
     title = {On the average number of direct factors of finite abelian groups (II)},
     journal = {Acta Arithmetica},
     volume = {89},
     year = {1999},
     pages = {69-78},
     zbl = {0932.11061},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav90i1p69bwm}
}

Wenguang Zhai. On the average number of direct factors of finite abelian groups (II). Acta Arithmetica, Tome 89 (1999) pp. 69-78. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav90i1p69bwm/

[000] [1] E. Cohen, On the average number of direct factors of a finite abelian group, Acta Arith. 6 (1960), 159-173. | Zbl 0113.25305

[001] [2] E. Fouvry and H. Iwaniec, Exponential sums with monomials, J. Number Theory 33 (1989), 311-333. | Zbl 0687.10028

[002] [3] D. R. Heath-Brown, The Pjateckiĭ-Šapiro prime number theorem, ibid. 16 (1983), 242-266. | Zbl 0513.10042

[003] [4] A. Ivić, The Riemann Zeta-function, Wiley, 1985. | Zbl 0556.10026

[004] [5] G. Kolesnik, On the estimation of multiple exponential sums, in: Recent Progress in Analytic Number Theory (Durham, 1979), Vol. 1, Academic Press, London, 1981, 231-246.

[005] [6] E. Krätzel, On the average number of direct factors of a finite abelian group, Acta Arith. 51 (1988), 369-379. | Zbl 0633.10044

[006] [7] H. Q. Liu, Divisor problems of 4 and 3 dimensions, ibid. 73 (1995), 249-269. | Zbl 0846.11056

[007] [8] H. Menzer, Vierdimensionale Gitterpunktprobleme I, II, Forschungsergebnisse, FSU, Jena, N/89/38, N/89/02, 1992.

[008] [9] H. Menzer, On the average number of direct factors of a finite Abelian group, J. Théor. Nombres Bordeaux 7 (1995), 155-164. | Zbl 0840.11038

[009] [10] H. Menzer and R. Seibold, On the average number of direct factors of a finite Abelian group, Monatsh. Math. 110 (1990), 63-72. | Zbl 0731.11054

[010] [11] S. H. Min, Methods of Number Theory, Science Press, Beijing, 1983 (in Chinese).

[011] [12] B. R. Srinivasan, The lattice point problem of many-dimensional hyperboloids II, Acta Arith. 8 (1963), 173-204. | Zbl 0118.28201

[012] [13] J. Wu, On the average number of unitary factors of finite abelian groups, ibid. 84 (1998), 17-29. | Zbl 0899.11048

[013] [14] G. Yu, On the number of direct factors of finite Abelian groups, Acta Math. Sinica 37 (1994), 663-670. | Zbl 0820.11056

[014] [15] W. G. Zhai and X. D. Cao, On the average number of direct factors of finite abelian groups, Acta Arith. 82 (1997), 45-55. | Zbl 0886.11054