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The Generalized Quadratic Gauss Sum and Its Fourth Power Mean

Author

Listed:
  • Shimeng Shen

    (School of Mathematics, Northwest University, Xi’an 710127, China)

  • Wenpeng Zhang

    (School of Mathematics, Northwest University, Xi’an 710127, China)

Abstract

In this article, our main purpose is to introduce a new and generalized quadratic Gauss sum. By using analytic methods, the properties of classical Gauss sums, and character sums, we consider the calculating problem of its fourth power mean and give two interesting computational formulae for it.

Suggested Citation

  • Shimeng Shen & Wenpeng Zhang, 2019. "The Generalized Quadratic Gauss Sum and Its Fourth Power Mean," Mathematics, MDPI, vol. 7(3), pages 1-10, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:258-:d:213264
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    References listed on IDEAS

    as
    1. Tingting Wang & Guohui Chen, 2018. "A Note on the Classical Gauss Sums," Mathematics, MDPI, vol. 6(12), pages 1-6, December.
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