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http://dx.doi.org/10.4134/JKMS.2010.47.5.947

INVERSION OF L-FUNCTIONS, GENERAL KLOOSTERMAN SUMS WEIGHTED BY INCOMPLETE CHARACTER SUMS  

Zhang, Xiaobeng (DEPARTMENT OF MATHEMATICS NORTHWEST UNIVERSITY, DEPARTMENT OF APPLIED MATHEMATICS AND PHYSICS XI'AN UNIVERSITY OF POST AND TELECOMMUNICATIONS)
Liu, Huaning (DEPARTMENT OF MATHEMATICS NORTHWEST UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.47, no.5, 2010 , pp. 947-965 More about this Journal
Abstract
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;
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