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Some notes on identities for Dirichlet L-functions |
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| Authors: | Rong Ma Yu Long Zhang Melchior Grützmann |
| Institution: | 1. School of Science, Northwestern Polytechnical University, Xi’an, 710072, P. R. China 2. The School of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an, 710049, P. R. China 3. School of Science, Northwestern Polytechnical University, Xi’an, 710072, P. R. China |
| Abstract: | Let q ≥ 3 be an integer, and χ be a Dirichlet character modulo q, L(s, χ) denote the Dirichlet L-function corresponding to χ. In this paper, we show some early information on the mean value of the Dirichlet L-functions and give some new identities for |
| Keywords: | Dirichlet L-functions Dedekind sum trigonometric formula M¨obius inversion formula |
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