The Turán-Kubilius inequality for integers free of large prime factors (II)
Ti Zuo Xuan
Acta Arithmetica, Tome 64 (1993), p. 329-352 / Harvested from The Polish Digital Mathematics Library
Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:206584
@article{bwmeta1.element.bwnjournal-article-aav65i4p329bwm,
     author = {Ti Zuo Xuan},
     title = {The Tur\'an-Kubilius inequality for integers free of large prime factors (II)},
     journal = {Acta Arithmetica},
     volume = {64},
     year = {1993},
     pages = {329-352},
     zbl = {0786.11057},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav65i4p329bwm}
}
Ti Zuo Xuan. The Turán-Kubilius inequality for integers free of large prime factors (II). Acta Arithmetica, Tome 64 (1993) pp. 329-352. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav65i4p329bwm/

[000] [1] K. Alladi, The Turán-Kubilius inequality for integers without large prime factors, J. Reine Angew. Math. 335 (1982), 180-196. | Zbl 0483.10050

[001] [2] K. Alladi and P. Erdős, On an additive arithmetic function, Pacific J. Math. 71 (1977), 275-294. | Zbl 0359.10038

[002] [3] N. G. de Bruijn, On the number of positive integers ≤x and free of prime factors >y, Indag. Math. 13 (1951), 50-60. | Zbl 0042.04204

[003] [4] P. D. T. A. Elliott, Probabilistic Number Theory, Vol. 1, Springer, Berlin, 1980. | Zbl 0431.10030

[004] [5] A. Hildebrand, On the number of positive integers ≤x and free of prime factors >y, J. Number Theory 22 (1986), 289-307. | Zbl 0575.10038

[005] [6] A. Hildebrand and G. Tenenbaum, On integers free of large prime factors, Trans. Amer. Math. Soc. 296 (1986), 265-290. | Zbl 0601.10028

[006] [7] T. Z. Xuan, The average order of dₖ(n) over integers free of large prime factors, Acta Arith. 55 (1990), 249-260.

[007] [8] T. Z. Xuan, The Turán-Kubilius inequality for integers free of large prime factors, J. Number Theory 43 (1993), 82-87. | Zbl 0772.11035