# The Turán-Kubilius inequality for integers free of large prime factors (II)

Acta Arithmetica (1993)

- Volume: 65, Issue: 4, page 329-352
- ISSN: 0065-1036

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topTi Zuo Xuan. "The Turán-Kubilius inequality for integers free of large prime factors (II)." Acta Arithmetica 65.4 (1993): 329-352. <http://eudml.org/doc/206584>.

@article{TiZuoXuan1993,

author = {Ti Zuo Xuan},

journal = {Acta Arithmetica},

keywords = {additive function; Turán-Kubilius inequality; integers free of large prime factors; additive functions},

language = {eng},

number = {4},

pages = {329-352},

title = {The Turán-Kubilius inequality for integers free of large prime factors (II)},

url = {http://eudml.org/doc/206584},

volume = {65},

year = {1993},

}

TY - JOUR

AU - Ti Zuo Xuan

TI - The Turán-Kubilius inequality for integers free of large prime factors (II)

JO - Acta Arithmetica

PY - 1993

VL - 65

IS - 4

SP - 329

EP - 352

LA - eng

KW - additive function; Turán-Kubilius inequality; integers free of large prime factors; additive functions

UR - http://eudml.org/doc/206584

ER -

## References

top- [1] K. Alladi, The Turán-Kubilius inequality for integers without large prime factors, J. Reine Angew. Math. 335 (1982), 180-196. Zbl0483.10050
- [2] K. Alladi and P. Erdős, On an additive arithmetic function, Pacific J. Math. 71 (1977), 275-294. Zbl0359.10038
- [3] N. G. de Bruijn, On the number of positive integers ≤x and free of prime factors >y, Indag. Math. 13 (1951), 50-60. Zbl0042.04204
- [4] P. D. T. A. Elliott, Probabilistic Number Theory, Vol. 1, Springer, Berlin, 1980. Zbl0431.10030
- [5] A. Hildebrand, On the number of positive integers ≤x and free of prime factors >y, J. Number Theory 22 (1986), 289-307. Zbl0575.10038
- [6] A. Hildebrand and G. Tenenbaum, On integers free of large prime factors, Trans. Amer. Math. Soc. 296 (1986), 265-290. Zbl0601.10028
- [7] T. Z. Xuan, The average order of dₖ(n) over integers free of large prime factors, Acta Arith. 55 (1990), 249-260.
- [8] T. Z. Xuan, The Turán-Kubilius inequality for integers free of large prime factors, J. Number Theory 43 (1993), 82-87. Zbl0772.11035

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