{"title":"关于正五边形上封闭台球组合周期长度的局部-全局猜想","authors":"Alex Kontorovich, Xin Zhang","doi":"arxiv-2409.10682","DOIUrl":null,"url":null,"abstract":"We study the set of combinatorial lengths of asymmetric periodic trajectories\non the regular pentagon, proving a density-one version of a conjecture of\nDavis-Lelievre.","PeriodicalId":501064,"journal":{"name":"arXiv - MATH - Number Theory","volume":"14 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Local-Global Conjecture for Combinatorial Period Lengths of Closed Billiards on the Regular Pentagon\",\"authors\":\"Alex Kontorovich, Xin Zhang\",\"doi\":\"arxiv-2409.10682\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the set of combinatorial lengths of asymmetric periodic trajectories\\non the regular pentagon, proving a density-one version of a conjecture of\\nDavis-Lelievre.\",\"PeriodicalId\":501064,\"journal\":{\"name\":\"arXiv - MATH - Number Theory\",\"volume\":\"14 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-16\",\"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-2409.10682\",\"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-2409.10682","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Local-Global Conjecture for Combinatorial Period Lengths of Closed Billiards on the Regular Pentagon
We study the set of combinatorial lengths of asymmetric periodic trajectories
on the regular pentagon, proving a density-one version of a conjecture of
Davis-Lelievre.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
