On the Hybrid Power Mean Involving the Character Sums and Dedekind Sums | Zendy

Xiaoling Xu | Zendy

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On the Hybrid Power Mean Involving the Character Sums and Dedekind Sums

Author(s) -

Xiaoling Xu

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 - 10.1155/2021/1282537

Subject(s) - mathematics , dedekind sum , gauss sum , kloosterman sum , character (mathematics) , quadratic gauss sum , sums of powers , dedekind cut , dedekind eta function , exponential sum , pure mathematics , gauss , arithmetic , combinatorics , exponential function , mathematical analysis , modular form , eisenstein series , physics , geometry , quantum mechanics

The main purpose of this paper is to use the elementary and analytic methods, the properties of Gauss sums, and character sums to study the computational problem of a certain hybrid power mean involving the Dedekind sums and a character sum analogous to Kloosterman sum and give two interesting identities for them.

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