The main purpose of this article is to study the calculating problem of the fourth power mean of the two-term exponential sums and provide an accurate calculating formula for utilizing analytical methods and character sums’ properties. In the meantime, a result of the fourth power mean of Gauss sums is improved.

中文翻译：

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关于广义指数和及其四次方均值

本文的主要目的是研究两项指数和的四次方均值的计算问题，为利用分析方法和特征和的性质提供准确的计算公式。同时，提高了高斯和的四次方均值的结果。