On the high-th mean of one special character sums modulo a prime
On the high-th mean of one special character sums modulo a prime
复制标题
DOI：
10.3934/math.20231316
复制
发表时间：
2023
期刊：
影响因子：
2.2
通讯作者：
Yan Ma;Di Han
中科院分区：
文献类型：
--
作者：
Yan Ma;Di Han
利用经典Gauss和的初等方法和特征和的性质，研究了关于形式$ G\left（n\right）= 1+\sum_{a = 1}^{p-1}\left（\frac{a^2+n\bar{a}^2}{p}\right）$和$ G（n）$的均值的线性递推公式.这是对2022年袁和张的研究的进一步探索，有助于我们更好地理解特征和的广泛应用。
Using the elementary method of the classical Gauss sums and the properties of character sums, we study a linear recurrence formula about the form $ G\left(n\right) = 1+\sum_{a = 1}^{p-1}\left(\frac{a^2+n\bar{a}^2}{p}\right) $ and about the mean value of $ G(n) $. This is a further exploration of Yuan and Zhang's research in 2022, which help us to better understand the character sums wide range application.