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      Artin \(L\)-functions and noncommutative tori

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          Abstract

          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.

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          Author and article information

          Journal
          29 December 2023
          Article
          2312.17638
          67e0f203-d12c-4901-956e-b57ba3c0af6b

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          9 pages. arXiv admin note: text overlap with arXiv:2309.05779
          math.NT math.OA

          Number theory,Algebra
          Number theory, Algebra

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