One kind two-term exponential sums weighted by third-order character

Abstract

We give a correction to the previous paper of S. F. Cao and T. T. Wang (2021). Additionally, provide a conversion formula of the power mean of a certain exponential sums weighted by a Dirichlet character $ \chi_{3} $ and some of its applications.

Keywords

• exponential sums
• gauss sums
• power mean
• calculating formula