Skip to main content

Mean value estimates for exponential sums

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

Keywords

  • Fourier Coefficient
  • Cusp Form
  • Dirichlet Series
  • Partial Summation
  • Dirichlet Polynomial

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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. E. Bombieri and H. Iwaniec, On the order of ζ(1/2+it), Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 13 (1986), 449–472

    MathSciNet  MATH  Google Scholar 

  2. A. Good, The square mean of Dirichlet series associated with cusp forms, Mathematika 29 (1982), 278–295.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. M. N. Huxley and N. Watt, Exponential sums and the Riemann zeta function, Proc. London Math. Soc. (3) 57 (1988), 1–24.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. A. Ivić, "The Riemann zeta-function", John Wiley & Sons, New York, 1985.

    MATH  Google Scholar 

  5. H. Iwaniec, Fourier coefficients of cusp forms and the Riemann zeta-function, Séminaire de Théorie des Nombres, Univ. Bordeaux 1979/80, exposé no 18, 36 pp.

    Google Scholar 

  6. M. Jutila, On the divisor problem for short intervals, Ann. Univ. Turkuensis Ser. A I 186 (1984), 23–30.

    MathSciNet  MATH  Google Scholar 

  7. M. Jutila, The fourth power moment of the Riemann zeta-function over a short interval, Proc. Coll. Soc. János Bolyai, Coll. on Number Theory (Budapest 1987), North Holland, Amsterdam (to appear).

    Google Scholar 

  8. M. Jutila, "Lectures on a method in the theory of exponential sums", Tata Institute of Fundamental Research, Lectures on Mathematics and Physics vol. 80, Bombay, 1987.

    Google Scholar 

  9. H. L. Montgomery, "Topics in Multiplicative Number Theory", Lecture Notes in Mathematics vol. 227, Springer-Verlag, Berlin-Heidelberg-New York, 1971.

    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

Jutila, M. (1989). Mean value estimates for exponential sums. In: Schlickewei, H.P., Wirsing, E. (eds) Number Theory. Lecture Notes in Mathematics, vol 1380. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086549

Download citation

  • DOI: https://doi.org/10.1007/BFb0086549

  • 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