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A Hybrid Mean Value of L-Functions and General Quadratic Gauss Sums

  • Wenpeng Zhang
Part of the Developments in Mathematics book series (DEVM, volume 8)

Abstract

The main purpose of this paper is using the estimates for character sums and the analytic method to study the 2k-th power mean of Dirichlet L-functions with the weight of general quadratic Gauss sums, and give an interesting asymptotic formula.

Keywords

General quadratic Gauss sums L-functions Asymptotic formula 

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References

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    Tom M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, New York, 1976.Google Scholar
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    Tom M. Apostol, Modular Functions and Dirichlet Series in Number Theory, Springer-Verlag, New York, 1976.Google Scholar
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    H. Walum, An exact formula for an average of L-series, Illinois J. Math. 26 (1982), 1–3.MathSciNetzbMATHGoogle Scholar
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    Zhang Wenpeng, On the fourth power mean of Dirichlet L-functions, Chinese Science Bulletin 34 (1990), 647–650.Google Scholar
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    Pan Chengdong and Pan Chengbiao, Elements of the Analytic Number Theory, Science Press, Beijing, 1991.Google Scholar
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    D.A.Burgess, On character sums and L-series, Proc. London Math. Soc. 12 (1962), 193–206.MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • Wenpeng Zhang
    • 1
  1. 1.Department of MathematicsNorthwest UniversityXi’an, ShaanxiP.R. China

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