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

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Abstract

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.

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References

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Correspondence to Yuan Yi.

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This work is supported by the Doctorate Foundation of Xi’an Jiaotong University

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Yi, Y., Zhang, W.P. On the 2k-th Power Mean of Inversion of L-functions with the Weight of the Gauss Sum. Acta Math Sinica 20, 175–180 (2004). https://doi.org/10.1007/s10114-003-0285-z

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  • DOI: https://doi.org/10.1007/s10114-003-0285-z

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