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MEAN VALUE OF THE CHARACTER SUMS OVER INTERVAL

MEAN VALUE OF THE CHARACTER SUMS OVER INTERVAL

Let $q\gt 8$ be an odd integer and $p$ a prime with $p$ a prime with $p\lt q$ and $p\nmid q$. The main purpose of this paper is to study the mean value properties of the character sums over interval $\left[1, \frac{q}{8}\right)$ by using the mean value theorems of the …