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Random multiplicative functions in short intervals
Random multiplicative functions short intervals
2010/11/24
We consider random multiplicative functions taking the values $\pm 1$. Using Stein's method for normal approximation, we prove a central limit theorem for the sum of such multiplicative functions in a...
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...