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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2205.03138 |
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| _version_ | 1866913237718532096 |
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| author | Kim, Seungki |
| author_facet | Kim, Seungki |
| contents | We formulate and prove the extension of the Rogers integral formula to the adeles of number fields. We also prove the second moment formulas for a few important cases, enabling a number of classical and recent applications of the formula to extend immediately to any number field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_03138 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Adelic Rogers integral formula Kim, Seungki Number Theory We formulate and prove the extension of the Rogers integral formula to the adeles of number fields. We also prove the second moment formulas for a few important cases, enabling a number of classical and recent applications of the formula to extend immediately to any number field. |
| title | Adelic Rogers integral formula |
| topic | Number Theory |
| url | https://arxiv.org/abs/2205.03138 |