# On the largest prime factor of integers

Acta Arithmetica (2000)

- Volume: 95, Issue: 1, page 17-48
- ISSN: 0065-1036

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topJia, Chaohua, and Liu, Ming-Chit. "On the largest prime factor of integers." Acta Arithmetica 95.1 (2000): 17-48. <http://eudml.org/doc/207438>.

@article{Jia2000,

author = {Jia, Chaohua, Liu, Ming-Chit},

journal = {Acta Arithmetica},

language = {eng},

number = {1},

pages = {17-48},

title = {On the largest prime factor of integers},

url = {http://eudml.org/doc/207438},

volume = {95},

year = {2000},

}

TY - JOUR

AU - Jia, Chaohua

AU - Liu, Ming-Chit

TI - On the largest prime factor of integers

JO - Acta Arithmetica

PY - 2000

VL - 95

IS - 1

SP - 17

EP - 48

LA - eng

UR - http://eudml.org/doc/207438

ER -

## References

top- [1] A. Balog, Numbers with a large prime factor, Studia Sci. Math. Hungar. 15 (1980), 139-146. Zbl0445.10033
- [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. Zbl0514.10034
- [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. Zbl0504.10018
- [6] G. Harman, On the distribution of αp modulo one II, Proc. London Math. Soc. (3) 72 (1996), 241-260. Zbl0874.11052
- [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. Zbl1066.11506
- [9] C. Jia, On the distribution of αp modulo one, J. Number Theory 45 (1993), 241-253. Zbl0786.11042
- [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. Zbl0293.10023

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