{"title":"Christoffel 矩阵和 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":"{\"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}","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}
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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