Some new hybrid power mean formulae of trigonometric sums

Advances in Difference Equations

article

Chen, Li¹  Chen, Zhuoyu¹ 

[1] School of Mathematics, Northwest University

关键词: Cubic Gauss sums;    Two-term exponential sums;    Hybrid power mean;    Computational formula;   

DOI  :  10.1186/s13662-020-02660-7

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

We apply the analytic method and the properties of the classical Gauss sums to study the computational problem of a certain hybrid power mean of the trigonometric sums and to prove several new mean value formulae for them. At the same time, we also obtain a new recurrence formula involving the Gauss sums and two-term exponential sums.

【 授权许可】

CC BY