ArticleOriginal scientific text

Title

Waring's problem with small prime factors

Authors 1

Affiliations

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

Bibliography

  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.
Pages:
165-185
Main language of publication
English
Received
1996-03-08
Accepted
1996-12-12
Published
1997
Exact and natural sciences