The greatest prime factor of the integers in an interval
Hong-Quan Liu
Acta Arithmetica, Tome 64 (1993), p. 301-328 / Harvested from The Polish Digital Mathematics Library
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Publié le : 1993-01-01
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     title = {The greatest prime factor of the integers in an interval},
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     year = {1993},
     pages = {301-328},
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Hong-Quan Liu. The greatest prime factor of the integers in an interval. Acta Arithmetica, Tome 64 (1993) pp. 301-328. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav65i4p301bwm/

[000] [1] R. C. Baker, The greatest prime factor of the integers in an interval, Acta Arith. 47 (1986), 193-231. | Zbl 0553.10035

[001] [2] E. Bombieri and H. Iwaniec, On the order of ζ(1/2+it), Ann. Scuola Norm. Sup. Pisa 13 (1986), 449-472. | Zbl 0615.10047

[002] [3] E. Fouvry and H. Iwaniec, Exponential sums with monomials, J. Number Theory 33 (1989), 311-333. | Zbl 0687.10028

[003] [4] S. W. Graham, The greatest prime factor of the integers in an interval, J. London Math. Soc. 24 (1981), 427-440. | Zbl 0442.10028

[004] [5] D. R. Heath-Brown, Prime numbers in short intervals and a generalized Vaughan identity, Canad. J. Math. 34 (1982), 1365-1377. | Zbl 0478.10024

[005] [6] H. Iwaniec, A new form of the error term in the linear sieve, Acta Arith. 37 (1980), 307-320. | Zbl 0444.10038

[006] [7] C. H. Jia, The greatest prime factor of the integers in an interval (II), Acta Math. Sinica (Chinese) 32 (1989), 188-199. Cf. also doctoral thesis, Peking University, 1987. | Zbl 0672.10030

[007] [8] A. A. Karatsuba, Principles of Analytic Number Theory, Nauka, 1975 (in Russian).

[008] [9] H. Liu, On square-full numbers in short intervals, Acta Math. Sinica (N.S.) 6 (1990), 148-164. | Zbl 0708.11044

[009] [10] S. H. Min, Methods in Number Theory, Vol. 2, Science Press, 1981 (in Chinese). | Zbl 0649.10001

[010] [11] K. Ramachandra, A note on numbers with a large prime factor, J. London Math. Soc. 1 (1969), 303-306. | Zbl 0179.07301

[011] [12] K. Ramachandra, A note on numbers with a large prime factor (II), J. Indian Math. Soc. 34 (1970), 39-48. | Zbl 0218.10057