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The First Power Mean of the Inversion of L-Functions and General Kloostermann Sums

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Abstract.

 The main purpose of this paper is using the estimate for classical Kloostermann sums and E. Bombieri–A. I. Vinogradov’s important work to study the first power mean of the inversion of Dirichlet L-functions with the weight of general Kloostermann sums, and give an interesting asymptotic formula.

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  1. Xi’an Jiaotong University, Xi’an, Shaanxi, P.R. China, , , , , , CN

    Zhang Wenpeng

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  1. Zhang Wenpeng
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Received 30 March 2001; in revised form 12 November 2001

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Wenpeng, Z. The First Power Mean of the Inversion of L-Functions and General Kloostermann Sums. Mh Math 136, 259–267 (2002). https://doi.org/10.1007/s006050200045

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  • DOI: https://doi.org/10.1007/s006050200045

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