Artin $L$-functions and noncommutative tori

Fuente: arXiv
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1. Verfasser: Nikolaev, Igor V.
Format: Preprint
Veröffentlicht: 2023
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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