Skip to main content

Weyl's inequality and hua's inequality

  • 562 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1380)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. I. Danicic, Contributions to number theory, Ph.D. Thesis, London, 1957.

    Google Scholar 

  2. G.H. Hardy and J.E. Littlewood, Some problems of "Partitio Numerorum"; IV, Math. Zeit. 12 (1922), 161–188.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. D.R. Heath-Brown, Weyl's inequality, Hua's inequality, and Waring's Problem, J. London Math. Soc. to appear.

    Google Scholar 

  4. D.R. Heath-Brown, The fractional part of ∝nk, Mathematika, to appear.

    Google Scholar 

  5. L.-K. Hua, On Waring's problem, Quart. J. Math. Oxf. Ser. 9 (1938), 199–202.

    CrossRef  MATH  Google Scholar 

  6. R.C. Vaughan, The Hardy-Littlewood method (Cambridge University Press, London, 1981)

    MATH  Google Scholar 

  7. R.C. Vaughan, On Waring's problem for cubes, J. Reine Angew. Math. 365 (1986), 122–170.

    MathSciNet  MATH  Google Scholar 

  8. R.C. Vaughan, On Waring's problem for smaller exponents. II, Mathematika, 33 (1986), 6–22.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1989 Springer-Verlag

About this paper

Cite this paper

Heath-Brown, D.R. (1989). Weyl's inequality and hua's inequality. In: Schlickewei, H.P., Wirsing, E. (eds) Number Theory. Lecture Notes in Mathematics, vol 1380. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086547

Download citation

  • DOI: https://doi.org/10.1007/BFb0086547

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51397-1

  • Online ISBN: 978-3-540-46205-7

  • eBook Packages: Springer Book Archive