Waring's problem with small prime factors
Gergely Harcos
Acta Arithmetica, Tome 80 (1997), p. 165-185 / Harvested from The Polish Digital Mathematics Library
Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:207035
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     author = {Gergely Harcos},
     title = {Waring's problem with small prime factors},
     journal = {Acta Arithmetica},
     volume = {80},
     year = {1997},
     pages = {165-185},
     zbl = {0871.11066},
     language = {en},
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Gergely Harcos. Waring's problem with small prime factors. Acta Arithmetica, Tome 80 (1997) pp. 165-185. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav80i2p165bwm/

[000] [1] A. Balog and A. Sárközy, On sums of integers having small prime factors I, Studia Sci. Math. Hungar. 19 (1984), 35-47. | Zbl 0569.10025

[001] [2] J. Brüdern, A sieve approach to the Waring-Goldbach problem II. On the seven cubes theorem, Acta Arith. 72 (1995), 211-227. | Zbl 0839.11046

[002] [3] J. Brüdern and E. Fouvry, Lagrange's four squares theorem with almost prime variables, J. Reine Angew. Math. 454 (1994), 59-96. | Zbl 0809.11060

[003] [4] N. G. de Bruijn, On the number of positive integers ≤ x and free of prime factors > y, Nederl. Akad. Wetensch. Proc. Ser. A 54 (1951), 50-60; II, ibid. 69 (1966), 239-247. | Zbl 0042.04204

[004] [5] A. Hildebrand, On the number of positive integers ≤ x and free of prime factors > y, J. Number Theory 22 (1986), 289-307. | Zbl 0575.10038

[005] [6] A. Hildebrand and G. Tenenbaum, Integers without large prime factors, J. Théor. Nombres Bordeaux 5 (1993), 411-484. | Zbl 0797.11070

[006] [7] L.-K. Hua, Additive Primzahltheorie, Teubner, Leipzig, 1959; English transl.: Additive Theory of Prime Numbers, Amer. Math. Soc., Providence, 1965.

[007] [8] R. C. Vaughan, The Hardy-Littlewood Method, Cambridge Tracts in Math. 80, Cambridge University Press, 1981.

[008] [9] R. C. Vaughan, A new iterative method in Waring's problem, Acta Math. 162 (1989), 1-71. | Zbl 0665.10033

[009] [10] T. D. Wooley, Large improvements in Waring's problem, Ann. of Math. 135 (1992), 131-164. | Zbl 0754.11026