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Evaluations of a Weighted Average of Gauss Sums

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  • Wen-Kai Shao
  • Yuan He
  • Yuan Yi

Abstract

In this paper, we perform a further investigation for a weighted average of Gauss sums. By making use of some properties of the cotangent function and the Bernoulli polynomials, we explicitly evaluate the weighted average of Gauss sums in terms of the special values of Dirichlet L-functions at positive integers.

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  • Wen-Kai Shao & Yuan He & Yuan Yi, 2021. "Evaluations of a Weighted Average of Gauss Sums," Journal of Mathematics, Hindawi, vol. 2021, pages 1-5, June.
    • Handle: RePEc:hin:jjmath:6206329
    DOI: 10.1155/2021/6206329
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    Cited by:

    1. Victoria Stack & Lana L. Narine, 2022. "Sustainability at Auburn University: Assessing Rooftop Solar Energy Potential for Electricity Generation with Remote Sensing and GIS in a Southern US Campus," Sustainability, MDPI, vol. 14(2), pages 1-14, January.

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