$L$-function of noncommutative tori
Operator Algebras
2023-06-29 v9 Number Theory
Abstract
We introduce an analog of the -function for noncommutative tori. It is proved that such a function coincides with the Hasse-Weil -function of an elliptic curve with complex multiplication. As a corollary, one gets a localization formula for the noncommutative tori with real multiplication.
Cite
@article{arxiv.0912.4905,
title = {$L$-function of noncommutative tori},
author = {Igor V. Nikolaev},
journal= {arXiv preprint arXiv:0912.4905},
year = {2023}
}
Comments
to appear Advances in Operator Theory