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On the 2k-th Power Mean of Inversion of L-functions with the Weight of the Gauss Sum 被引量:3

On the 2k-th Power Mean of Inversion of L-functions with the Weight of the Gauss Sum
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摘要 The main purpose of this paper is to use the estimate for character sums and the method of trigonometric sums to study the 2k-th power mean of the inversion of Dirichlet L-functions with the weight of the Gauss sums, and give a sharper asymptotic formula. The main purpose of this paper is to use the estimate for character sums and the method of trigonometric sums to study the 2k-th power mean of the inversion of Dirichlet L-functions with the weight of the Gauss sums, and give a sharper asymptotic formula.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2004年第1期175-180,共6页 数学学报(英文版)
基金 supported by the Doctorate Foundation of Xi'an Jiaotong University
关键词 Dirichlet L-functions Gauss sums Mean value Asymptotic formula Dirichlet L-functions Gauss sums Mean value Asymptotic formula
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  • 1Tom, M. A.: Introduction to Analytic Number Theory, Springer-Verlag, New York, 1976.
  • 2Pan, C. D., Pan, C. B.: Element of the Analytic Number Theory, Science Press, Beijing, 1991 (in Chinese).
  • 3Ireland, K., Rosen, M.: A Classical Introduction to Modern Number Theory, Springer-Verlag, New York,1982.
  • 4Zhang, W. P.: On the 2k-th power mean of inversion of Dirichlet L-function. Chinese Annals of Mathematics, 14A(1), 1-5 (1993) (in Chinese).
  • 5Vaughan, R. C.: An elementary method in prime number theory, Recent Progress in Analytic Number Theory, Academic Press, 1, 341-347 (1981).

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