Artin $L$-functions and noncommutative tori
Number Theory
2024-01-01 v1 Operator Algebras
Abstract
Using the ideas of Deninger, we prove that the Artin -functions coincide with such of the noncommutative tori. This result can be viewed as the Langlands reciprocity for noncommutative tori.
Cite
@article{arxiv.2312.17638,
title = {Artin $L$-functions and noncommutative tori},
author = {Igor V. Nikolaev},
journal= {arXiv preprint arXiv:2312.17638},
year = {2024}
}
Comments
9 pages. arXiv admin note: text overlap with arXiv:2309.05779