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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.18048 |
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| _version_ | 1866909091138371584 |
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| author | He, Yuan |
| author_facet | He, Yuan |
| contents | In this paper, we study the mean value distributions of Dirichlet $L$-functions at positive integers. We give some explicit formulas for the mean values of products of two and three Dirichlet $L$-functions at positive integers weighted by Dirichlet characters that involve the Bernoulli functions and Jordan's totient functions. The results presented here are the generalizations of various known formulas. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_18048 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the mean values of products of Dirichlet $L$-functions at positive integers He, Yuan Number Theory In this paper, we study the mean value distributions of Dirichlet $L$-functions at positive integers. We give some explicit formulas for the mean values of products of two and three Dirichlet $L$-functions at positive integers weighted by Dirichlet characters that involve the Bernoulli functions and Jordan's totient functions. The results presented here are the generalizations of various known formulas. |
| title | On the mean values of products of Dirichlet $L$-functions at positive integers |
| topic | Number Theory |
| url | https://arxiv.org/abs/2310.18048 |