The largest prime factor of the integers in an interval

Science in China, Series A: Mathematics, Physics, Astronomy

Volumn 39, Issue 5, 1996, Pages

  Heath Brown, D R ^a  

^a MAGDALEN COLLEGE   (United Kingdom)

Author keywords

Asymptotic formula; Prime number; Sieve method

Indexed keywords

EID: 1542578426     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. Ramachandra, K., A note on numbers with a large prime factor, J. London Math. Soc., 1969, 1(2): 303.
2. Baker, R. C., Harman, G., Numbers with a large prime factor, Acta Arith., to appear.
3. Jutila, M., On numbers with a large prime factor, J. Indian Math. Soc. (N. S.), 1973, 37:43.
4. Balog, A., Numbers with a large prime factor, Studia Sci. Math. Hungar., 1980, 15: 139.
5. Balog, A., Numbers with a large prime factor II, Topics in Classical Number Theory, Coll. Math. Soc. János Bolyai 34, Amsterdam: Elsevier North-Holland, 1984, 49-67.
6. Balog, A., Harman G., Pintz J., Numbers with a large prime factor IV, J. London Math. Soc., 1983, 28(2): 218.
7. Heath-Brown, D. R., Prime numbers in short intervals and a generalized Vaughan identity, Can. J. Math., 1982, 34: 1365.
8. Heath-Brown, D. R., The number of primes in a short interval, J. reine angew. Math., 1988, 389: 22.
9. Linnik, Yu. V., The Dispersion Method in Binary Additive Problems, Translations of Mathematical Monographs, American Mathematical Society, Providence, 1963.
10. Heath-Brown, D. R., Sieve identities and gaps between primes, Astérisque, 1982, 94: 61.