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INVERSION OF L-FUNCTIONS, GENERAL KLOOSTERMAN SUMS WEIGHTED BY INCOMPLETE CHARACTER SUMS
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 Title & Authors
INVERSION OF L-FUNCTIONS, GENERAL KLOOSTERMAN SUMS WEIGHTED BY INCOMPLETE CHARACTER SUMS
Zhang, Xiaobeng; Liu, Huaning;
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 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;
 Language
English
 Cited by
 References
1.
T. M. Apostol, Introduction to Analytic Number Theory, Undergraduate Texts in Mathematics. Springer-Verlag, New York-Heidelberg, 1976.

2.
S. Chowla, On Kloosterman’s sum, Norkse Vid. Selbsk. Fak. Frondheim 40 (1967), 70-72.

3.
T. Estermann, On Kloosterman’s sum, Mathematica 8 (1961), 83-86.

4.
H. L. Montgomery and R. C. Vaughan, Mean values of character sums, Canad. J. Math. 31 (1979), no. 3, 476-487. crossref(new window)

5.
C. D. Pan and C. B. Pan, Goldbach Conjecture, Science Press, Beijing, 1981.

6.
Z. Xu and W. Zhang, On the 2k-th power mean of the character sums over short intervals, Acta Arith. 121 (2006), no. 2, 149-160. crossref(new window)

7.
W. Zhang, On the mean value of L-functions with the weight of character sums, J. Number Theory 128 (2008), no. 8, 2459-2466. crossref(new window)

8.
W. Zhang, On the general Kloosterman sums and its fourth power mean, J. Number Theory 104 (2004), no. 1, 156-161. crossref(new window)

9.
W. Zhang, Y. Yi, and X. He, On the 2k-th power mean of Dirichlet L-functions with the weight of general Kloosterman sums, J. Number Theory 84 (2000), no. 2, 199-213. crossref(new window)