Some new hybrid power mean formulae of trigonometric sums

Abstract 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...

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Bibliographic Details
Main Authors: Li Chen, Zhuoyu Chen
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-020-02660-7