On the largest prime factor of integers

• Autorzy: Chaohua Jia , Ming-Chit Liu
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 95
• Numer: 1
• Strony: 17-48

Daty

wydano

2000

otrzymano

1999-04-26

poprawiono

1999-10-10

Twórcy

autor

Chaohua Jia

• Institute of Mathematics, Academia Sinica, Beijing, 100080, China

autor

Ming-Chit Liu

• Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong

Bibliografia

• [1] A. Balog, Numbers with a large prime factor, Studia Sci. Math. Hungar. 15 (1980), 139-146.
• [2] A. Balog, Numbers with a large prime factor II, in: Topics in Classical Number Theory, Colloq. Math. Soc. János Bolyai 34, Elsevier, North-Holland, Amsterdam, 1984, 49-67.
• [3] A. Balog, G. Harman and J. Pintz, Numbers with a large prime factor IV, J. London Math. Soc. (2) 28 (1983), 218-226.
• [4] J.-M. Deshouillers and H. Iwaniec, Power mean-values for Dirichlet's polynomials and the Riemann zeta-function, II, Acta Arith. 43 (1984), 305-312.
• [5] G. Harman, On the distribution of αp modulo one, J. London Math. Soc. (2) 27 (1983), 9-18.
• [6] G. Harman, On the distribution of αp modulo one II, Proc. London Math. Soc. (3) 72 (1996), 241-260.
• [7] D. R. Heath-Brown, The largest prime factor of the integers in an interval, Sci. China Ser. A 26 (1996), 385-411 (in Chinese); Sci. China Ser. A 39 (1996), 449-476.
• [8] D. R. Heath-Brown and C. Jia, The largest prime factor of the integers in an interval, II, J. Reine Angew. Math. 498 (1998), 35-59.
• [9] C. Jia, On the distribution of αp modulo one, J. Number Theory 45 (1993), 241-253.
• [10] C. Jia, On the distribution of αp modulo one, II, preprint.
• [11] M. Jutila, On numbers with a large prime factor, J. Indian Math. Soc. (N.S.) 37 (1973), 43-53.