Christoffel Matrices and Sturmian Determinants
<|reference_start|>Christoffel Matrices and Sturmian Determinants: We discuss certain matrices associated with Christoffel words, and show that they have a group structure. We compute their determinants and show a relationship between the Zolotareff symbol from number theory.<|reference_end|>
@article{reutenauer2024christoffel,
    title={Christoffel Matrices and Sturmian Determinants},
    author={Christophe Reutenauer and Jeffrey Shallit},
    journal={arXiv preprint arXiv:2409.09824},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.09824},
    primaryClass={math.CO cs.DM math.NT}
}