Numbers with a large prime factor

Acta Arithmetica

Volumn 89, Issue 2, 1999, Pages 163-187

  Liu, Hong Quan ^a,b   Wu, Jie ^c  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b Univ Henri Poincare ^*  (China)

^c UNIVERSITÉ HENRI POINCARÉ NANCY 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033474096     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-89-2-163-187     Document Type: Article

References (27)

1. R. C. Baker, The greatest prime factor of the integers in an interval, Acta Arith. 47 (1986), 193-231.
2. R. C. Baker and G. Harman, Numbers with a large prime factor, ibid. 73 (1995), 119-145.
3. c], J. Number Theory 50 (1995), 261-277.
4. A. Balog, Numbers with a large prime factor I, Studia Sci. Math. Hungar. 15 (1980), 139-146; II, in: Topics in Classical Number Theory, Colloq. Math. Soc. János Bolyai 34, North-Holland, 1984, 49-67.
5. A. Balog, Numbers with a large prime factor I, Studia Sci. Math. Hungar. 15 (1980), 139-146; II, in: Topics in Classical Number Theory, Colloq. Math. Soc. János Bolyai 34, North-Holland, 1984, 49-67.
6. A. Balog, G. Harman and J. Pintz, Numbers with a large prime factor IV, J. London Math. Soc. (2) 28 (1983), 218-226.
7. E. Fouvry, Sur le théorème de Brun-Titchmarsh, Acta Arith. 43 (1984), 417-424.
8. E. Fouvry and H. Iwaniec, Exponential sums with monomials, J. Number Theory 33 (1989), 311-333.
9. S. W. Graham, The greatest prime factor of the integers in an interval, J. London Math. Soc. (2) 24 (1981), 427-440.
10. S. W. Graham and G. Kolesnik, Van der Corput's Method of Exponential Sums, Cambridge Univ. Press, 1991.
11. G. Harman, On the distribution of αp modulo one, J. London Math. Soc. (2) 27 (1983), 9-13.
12. D. R. Heath-Brown, The Pjateckiǐ-Šapiro prime number theorem, J. Number Theory 16 (1983), 242-266.
13. _, The largest prime factor of the integers in an interval, Sci. China Ser. A 39 (1996), 449-476.
14. D. R. Heath-Brown and C. H. Jia, The largest prime factor of the integers in an interval II, J. Reine Angew. Math. 498 (1998), 35-59.
15. M. N. Huxley, Area, Lattice Points and Exponential Sums, Oxford Sci. Publ., Clarendon Press, Oxford, 1996.
16. H. Iwaniec, A new form of the error term in the linear sieve, Acta Arith. 37 (1980), 307-320.
17. C. H. Jia, The greatest prime factor of the integers in an interval I, Acta Math. Sinica 29 (1986), 815-825; II, ibid. 32 (1989), 188-199; III, ibid. (N.S.) 9 (1993), 321-336; IV, ibid. 12 (1996), 433-445.
18. C. H. Jia, The greatest prime factor of the integers in an interval I, Acta Math. Sinica 29 (1986), 815-825; II, ibid. 32 (1989), 188-199; III, ibid. (N.S.) 9 (1993), 321-336; IV, ibid. 12 (1996), 433-445.
19. C. H. Jia, The greatest prime factor of the integers in an interval I, Acta Math. Sinica 29 (1986), 815-825; II, ibid. 32 (1989), 188-199; III, ibid. (N.S.) 9 (1993), 321-336; IV, ibid. 12 (1996), 433-445.
20. C. H. Jia, The greatest prime factor of the integers in an interval I, Acta Math. Sinica 29 (1986), 815-825; II, ibid. 32 (1989), 188-199; III, ibid. (N.S.) 9 (1993), 321-336; IV, ibid. 12 (1996), 433-445.
21. M. Jutila, On numbers with a large prime factor IV, J. Indian Math. Soc. (N.S.) 37 (1973), 43-53.
22. H.-Q. Liu, The greatest prime factor of the integers in an interval, Acta Arith. 65 (1993), 301-328.
23. _, A special triple exponential sum, Mathematika 42 (1995), 137-143.
24. K. Ramachandra, A note on numbers with a large prime factor I, J. London Math. Soc. (2) 1 (1969), 303-306; II, J. Indian Math. Soc. 34 (1970), 39-48.
25. K. Ramachandra, A note on numbers with a large prime factor I, J. London Math. Soc. (2) 1 (1969), 303-306; II, J. Indian Math. Soc. 34 (1970), 39-48.
26. E. C. Titchmarsh, The Theory of the Riemann Zeta-function, 2nd ed., revised by D. R. Heath-Brown, Clarendon Press, Oxford, 1986.
27. J. Wu, Nombres B-libres dans les petits intervalles, Acta Arith. 65 (1993), 97-116.