K-theory of Minkowski question-mark function
K-Theory and Homology
2025-04-02 v1 Number Theory
Operator Algebras
Abstract
It is proved that the Minkowski question-mark function comes from the K-theory of Cuntz-Pimsner algebras. We apply this result to calculate the action of Frobenius endomorphism at the infinite prime. Such a problem was raised by Serre and Deninger in the theory of local factors of zeta functions of projective varieties.
Cite
@article{arxiv.2504.00164,
title = {K-theory of Minkowski question-mark function},
author = {Igor V. Nikolaev},
journal= {arXiv preprint arXiv:2504.00164},
year = {2025}
}
Comments
10 pages, 2 figures