Abstract
The main purpose of this paper is to use the generalized Bernoulli numbers, Gauss sums and the mean value theorems of Dirichlet L–functions to study the asymptotic property of one class of number–theoretic functions, and to give four interesting hybrid mean value formulae.
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This work is supported by the NSF (10271093) and PNSF of P. R. China
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Liu, H.N., Zhang, W.P. General Kloosterman Sums and the Difference Between an Integer and Its Inverse Modulo Q . Acta Math Sinica 23, 77–82 (2007). https://doi.org/10.1007/s10114-005-0724-0
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DOI: https://doi.org/10.1007/s10114-005-0724-0