ArticleOriginal scientific text

Title

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

Authors 1

Affiliations

  1. Department of Mathematics, Beijing Normal University, Beijing 100875, People's Republic of China

Keywords

additive function, Turán-Kubilius inequality, integers free of large prime factors

Bibliography

  1. K. Alladi, The Turán-Kubilius inequality for integers without large prime factors, J. Reine Angew. Math. 335 (1982), 180-196.
  2. K. Alladi and P. Erdős, On an additive arithmetic function, Pacific J. Math. 71 (1977), 275-294.
  3. N. G. de Bruijn, On the number of positive integers ≤x and free of prime factors >y, Indag. Math. 13 (1951), 50-60.
  4. P. D. T. A. Elliott, Probabilistic Number Theory, Vol. 1, Springer, Berlin, 1980.
  5. A. Hildebrand, On the number of positive integers ≤x and free of prime factors >y, J. Number Theory 22 (1986), 289-307.
  6. A. Hildebrand and G. Tenenbaum, On integers free of large prime factors, Trans. Amer. Math. Soc. 296 (1986), 265-290.
  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.
Pages:
329-352
Main language of publication
English
Received
1992-11-04
Published
1993
Exact and natural sciences