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An identity on the $2m$-th power mean value of the generalized Gauss sums
2m-th power mean exact calculating formula generalized quadratic Gauss sums Number Theory
2011/9/5
Abstract: In this paper, using combinatorial and analytic methods, we prove an exact calculating formula on the $2m$-th power mean value of the generalized quadratic Gauss sums for $m\geq 2$. This sol...
On the Fourth Power Mean of the Character Sums Over Short Intervals
character sums short intervals fourth power mean asymptotic formula
2007/12/11
The main purpose of this paper is to study the mean value properties of the character sums over the interval $\left[1, \frac{p}{8}\right)$ by using the mean value theorems of the Dirichlet L-functions...