Evaluations of a Weighted Average of Gauss Sums | Zendy

Wenkai Shao | Zendy; Yuan He | Zendy

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Evaluations of a Weighted Average of Gauss Sums

Author(s) -

Wenkai Shao,

Yuan He

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6206329

Subject(s) - mathematics , gauss , gauss sum , dirichlet distribution , function (biology) , bernoulli's principle , weighted arithmetic mean , discrete mathematics , combinatorics , statistics , mathematical analysis , physics , quantum mechanics , evolutionary biology , engineering , biology , boundary value problem , aerospace engineering

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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