J. Korean Math. Soc. 2010; 47(5): 947-965
Printed September 1, 2010
https://doi.org/10.4134/JKMS.2010.47.5.947
Copyright © The Korean Mathematical Society.
Xiaobeng Zhang and Huaning Liu
Northwest University
The main purpose of this paper is using estimates for character sums and analytic methods to study the mean value involving the incomplete character sums, $2$-th power mean of the inversion of Dirichlet $L$-function and general Kloosterman sums, and give four interesting asymptotic formulae for it.
Keywords: character sum, $L$-function, general Kloosterman sum, asymptotic formula
MSC numbers: 11L05
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