Hybrid mean value on the difference between an integer and its inverse modulo q |
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| Authors: | Huaning Liu Wenpeng Zhang |
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| Affiliation: | (1) Department of Mathematics, Northwest University, Xi’an, Shaanxi, P.R. China |
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| Abstract: | The main purpose of this paper is to study the asymptotic property of one class of number-theoretic functions and give a sharp hybrid mean-value formula by using the generalized Bernoulli numbers, Gauss sums and the mean-value theorems of Dirichlet L-functions. |
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