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

• Autorzy: Ti Zuo Xuan
• Języki publikacji: EN

Słowa kluczowe

EN

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

Kategorie tematyczne

• 11K65: Arithmetic functions
• 11N30: Tur\'an theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1993
• Tom: 65
• Numer: 4
• Strony: 329-352

Daty

wydano

1993

otrzymano

1992-11-04

Twórcy

autor

Ti Zuo Xuan

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

Bibliografia

• [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.