Waring's problem with small prime factors

• Autorzy: Gergely Harcos
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 80
• Numer: 2
• Strony: 165-185

Daty

wydano

1997

otrzymano

1996-03-08

poprawiono

1996-12-12

Twórcy

autor

Gergely Harcos

• József u. 9. III. 18., H-1084 Budapest, Hungary

Bibliografia

• [1] A. Balog and A. Sárközy, On sums of integers having small prime factors I, Studia Sci. Math. Hungar. 19 (1984), 35-47.
• [2] J. Brüdern, A sieve approach to the Waring-Goldbach problem II. On the seven cubes theorem, Acta Arith. 72 (1995), 211-227.
• [3] J. Brüdern and E. Fouvry, Lagrange's four squares theorem with almost prime variables, J. Reine Angew. Math. 454 (1994), 59-96.
• [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.
• [5] A. Hildebrand, On the number of positive integers ≤ x and free of prime factors > y, J. Number Theory 22 (1986), 289-307.
• [6] A. Hildebrand and G. Tenenbaum, Integers without large prime factors, J. Théor. Nombres Bordeaux 5 (1993), 411-484.
• [7] L.-K. Hua, Additive Primzahltheorie, Teubner, Leipzig, 1959; English transl.: Additive Theory of Prime Numbers, Amer. Math. Soc., Providence, 1965.
• [8] R. C. Vaughan, The Hardy-Littlewood Method, Cambridge Tracts in Math. 80, Cambridge University Press, 1981.
• [9] R. C. Vaughan, A new iterative method in Waring's problem, Acta Math. 162 (1989), 1-71.
• [10] T. D. Wooley, Large improvements in Waring's problem, Ann. of Math. 135 (1992), 131-164.