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A hybrid mean value of the inversion of L-functions and general quadratic Gauss sums*

Published online by Cambridge University Press:  22 January 2016

Wenpeng Zhang  and
Yuping Deng
Wenpeng Zhang
Affiliation:
Department of Mathematics, Northwest University, Xi’an, Shaanxi, P.R.China, wpzhang@nwu.edu.cn
Yuping Deng
Affiliation:
Department of Mathematics, Northwest University, Xi’an, Shaanxi, P.R.China
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Abstract

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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 the inversion of Dirichlet L-functions with the weight of general quadratic Gauss sums, and give two interesting asymptotic formulas.

Keywords

11M20
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 167 , 2002 , pp. 1 - 15
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

Footnotes

*

This work is supported by the N.S.F. and the P.N.S.F. of P.R.China.

References

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