Skip to main content
Log in

A note on the mean value of the general Kloosterman sums

  • Published:
Czechoslovak Mathematical Journal Aims and scope Submit manuscript

Abstract

The main purpose of this paper is to use the analytic method to study the calculating problem of the general Kloosterman sums, and give an exact calculating formula for it.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. H. M. Andruhaev: A sum of Kloosterman type. Certain Problems in the Theory of Fields. 1964, pp. 60–66.

  2. S. Chowla: On Kloosterman’s sum. Norkse Vid. Selbsk. Fak. Frondheim. 40 (1967), 70–72.

    MathSciNet  MATH  Google Scholar 

  3. H. N. Liu: Mean value of some exponential sums and applications to Kloosterman sums. J. Math. Anal. Appl. 361 (2010), 205–223.

    Article  MathSciNet  MATH  Google Scholar 

  4. A. V. Malyshev: A generalization of Kloosterman sums and their estimates. Vestnik Leningrad Univ. 15 (1960), 59–75. (In Russian.)

    MATH  Google Scholar 

  5. Z. F. Xu, T. P. Zhang, W. P. Zhang: On the mean value of two-term exponential sums with Dirichlet characters. J. Number Theory 123 (2007), 352–362.

    Article  MathSciNet  MATH  Google Scholar 

  6. W. P. Zhang: On the general Kloosterman sum and its fourth power mean. J. Number Theory. 104 (2004), 156–161.

    Article  MathSciNet  MATH  Google Scholar 

  7. W. P. Zhang: On the fourth power mean of the general Kloosterman sums. Indian J. Pure Appl. Math. 35 (2004), 237–242.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yao, W. A note on the mean value of the general Kloosterman sums. Czech Math J 61, 889–900 (2011). https://doi.org/10.1007/s10587-011-0056-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10587-011-0056-4

Keywords

MSC 2010

Navigation