Additive Representation in Thin Sequences , I : Waring ’ S Problem for Cubes ✩

@inproceedings{Brdern2001AdditiveRI,
  title={Additive Representation in Thin Sequences , I : Waring ’ S Problem for Cubes ✩},
  author={J{\"o}rg Br{\"u}dern and Koichi Kawada and Trevor D. Wooley},
  year={2001}
}
– In this paper we investigate representation of numbers from certain thin sequences like the squares or cubes by sums of cubes. It is shown, in particular, that almost all values of an integral cubic polynomial are sums of six cubes. The methods are very flexible and may be applied to many related problems.  2001 Éditions scientifiques et médicales Elsevier SAS RÉSUMÉ. – Dans cet article nous étudions la représentation des nombres de certaines suites rares comme celles des carrés ou des cubes… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 18 references

On the sum of four cubes

  • K. KAWADA
  • Göttinger Nachrichten
  • 1996

On Waring’s problem for four cubes

  • J. BRÜDERN, N. WATT
  • Duke Math
  • 1995

Large improvements in Waring ’ s problem

  • D. WOOLEYT.
  • Ann . of Math .
  • 1992

Large improvements in Waring’s problem, Ann

  • T. D. WOOLEY
  • 1992

On Waring’s problem for cubes, Math

  • J. BRÜDERN
  • Proc. Cambridge Philos. Soc
  • 1991

On Waring’s problem: some refinements

  • R. C. VAUGHAN, T. D. WOOLEY
  • Proc. London Math. Soc.63
  • 1991

On simultaneous additive equations, II

  • T. D. WOOLEY
  • J. Reine Angew. Math
  • 1991

A new iterative method in Waring’s

  • R. C. VAUGHAN
  • 1989

On Waring’s problem for cubes II

  • R. C. VAUGHAN
  • J. London Math. Soc
  • 1989

A problem in additive number theory, Math

  • J. BRÜDERN
  • Proc. Cambridge Philos. Soc
  • 1988

Similar Papers

Loading similar papers…