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A Conversion Formula for One Kind Fourth Power Mean of Kloosterman Sums and the Character Sums Module p

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  • Shushu Ning
  • Xuexia Wang
  • Ming-Sheng Liu

Abstract

The primary contribution of this paper is to research one kind special Kloosterman sums using analytic method. We translate one kind fourth power mean of the Kloosterman sums into the character sums of one kind polynomials. It is possible to construct an exact formula for the fourth power mean of one kind Kloosterman sums by computing the character sums of the polynomials. The paper is novel because of its proof and conversion strategies.

Suggested Citation

  • Shushu Ning & Xuexia Wang & Ming-Sheng Liu, 2024. "A Conversion Formula for One Kind Fourth Power Mean of Kloosterman Sums and the Character Sums Module p," Journal of Mathematics, Hindawi, vol. 2024, pages 1-10, November.
    • Handle: RePEc:hin:jjmath:9251730
    DOI: 10.1155/jom/9251730
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