On the Hybrid Power Mean of Two-Term Exponential Sums and Cubic Gauss Sums | Zendy

Shaofan Cao | Zendy; Tingting Wang | Zendy

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On the Hybrid Power Mean of Two-Term Exponential Sums and Cubic Gauss Sums

Author(s) -

Shaofan Cao,

Tingting Wang

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 - 10.1155/2021/6638156

Subject(s) - mathematics , exponential function , term (time) , trigonometry , gauss sum , exponential sum , gauss , exponential formula , sums of powers , quadratic gauss sum , power (physics) , trigonometric functions , order (exchange) , mathematical analysis , pure mathematics , double exponential function , combinatorics , geometry , physics , finance , quantum mechanics , economics

In this paper, an interesting third-order linear recurrence formula is presented by using elementary and analytic methods. This formula is concerned with the calculating problem of the hybrid power mean of a certain two-term exponential sums and the cubic Gauss sums. As an application of this result, some exact computational formulas for one kind hybrid power mean of trigonometric sums are obtained.

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