{"title":"Christoffel Matrices and Sturmian Determinants","authors":"Christophe Reutenauer, Jeffrey Shallit","doi":"arxiv-2409.09824","DOIUrl":null,"url":null,"abstract":"We discuss certain matrices associated with Christoffel words, and show that\nthey have a group structure. We compute their determinants and show a\nrelationship between the Zolotareff symbol from number theory.","PeriodicalId":501064,"journal":{"name":"arXiv - MATH - Number Theory","volume":"101 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Number Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.09824","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
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.
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