Artin $L$-functions and noncommutative tori

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.

arXiv comment9 pages. arXiv admin note: text overlap with arXiv:2309.05779