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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/2312.17638 |
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| _version_ | 1866909057227423744 |
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| author | Nikolaev, Igor V. |
| author_facet | Nikolaev, Igor V. |
| contents | Using the ideas of Deninger, we prove that the Artin $L$-functions coincide with such of the noncommutative tori. This result can be viewed as the Langlands reciprocity for noncommutative tori. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_17638 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Artin $L$-functions and noncommutative tori Nikolaev, Igor V. Number Theory Operator Algebras Using the ideas of Deninger, we prove that the Artin $L$-functions coincide with such of the noncommutative tori. This result can be viewed as the Langlands reciprocity for noncommutative tori. |
| title | Artin $L$-functions and noncommutative tori |
| topic | Number Theory Operator Algebras |
| url | https://arxiv.org/abs/2312.17638 |