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arXiv · 2312.17638

Artin $L$-functions and noncommutative tori

Igor V. Nikolaev
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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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Igor V. Nikolaev. 2023-12-29. Artin $L$-functions and noncommutative tori. https://arxiv.org/abs/2312.17638

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