The distribution of 4-full numbers
Hong-Quan Liu
Acta Arithmetica, Tome 68 (1994), p. 165-176 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:206624 
@article{bwmeta1.element.bwnjournal-article-aav67i2p165bwm,
     author = {Hong-Quan Liu},
     title = {The distribution of 4-full numbers},
     journal = {Acta Arithmetica},
     volume = {68},
     year = {1994},
     pages = {165-176},
     zbl = {0810.11053},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav67i2p165bwm}
}

Hong-Quan Liu. The distribution of 4-full numbers. Acta Arithmetica, Tome 68 (1994) pp. 165-176. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav67i2p165bwm/

[000] [1] A. Baker, A Concise Introduction to the Theory of Numbers, Cambridge Univ. Press, 1984. | Zbl 0554.10001

[001] [2] P. T. Bateman and E. Grosswald, On a theorem of Erdős and Szekeres, Illinois J. Math. 2 (1958), 88-98. | Zbl 0079.07104

[002] [3] P. Erdős and G. Szekeres, Über die Anzahl der Abelschen Gruppen gegebener Ordnung und über ein verwandtes zahlentheoretisches Problem, Acta Sci. Math. (Szeged) 7 (1935), 95-102. | Zbl 60.0893.02

[003] [4] A. Ivić, On the asymptotic formulas for powerful numbers, Publ. Inst. Math. (Belgrade) 23 (37) (1978), 85-94. | Zbl 0384.10025

[004] [5] A. Ivić, On the number of finite non-isomorphic abelian groups in short intervals, Math. Nachr. 101 (1981), 257-271. | Zbl 0484.10028

[005] [6] A. Ivić and P. Shiu, The distribution of powerful numbers, Illinois J. Math. 26 (1982), 576-590. | Zbl 0484.10024

[006] [7] E. Krätzel, Zahlen k-ter Art, Amer. J. Math. 44 (1972), 309-328. | Zbl 0243.10037

[007] [8] E. Krätzel, Divisor problems and powerful numbers, Math. Nachr. 114 (1983), 97-104. | Zbl 0545.10030

[008] [9] E. Krätzel, Zweifache Exponentialsummen und dreidimensionale Gitterpunktprobleme, in: Elementary and Analytic Theory of Numbers, Banach Center Publ. 17, PWN, Warszawa, 1985, 337-369.

[009] [10] E. Krätzel, The distribution of powerful integers of type 4, Acta Arith. 52 (1989), 141-145. | Zbl 0646.10034

[010] [11] H.-Q. Liu, On the number of abelian groups of a given order, Acta Arith. 59 (1991), 261-277. | Zbl 0737.11024

[011] [12] H.-Q. Liu, On the number of abelian groups of a given order (supplement), Acta Arith. 64 (1993), 285-296.

[012] [13] H.-Q. Liu, The greatest prime factor of the integers in an interval, Acta Arith. 65 (1993), 301-328. | Zbl 0797.11071