{"title":"Ihara函数","authors":"Tongyu Yang, A. Terras","doi":"10.1090/cbms/129/04","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce the definition of the Ihara zeta function and its determinant formula. We provide a detailed proof of the determinant formula by using the edge zeta function. This paper is based on an article [1] written by Audrey A. Terras with the addition of details and a focus on the proof.","PeriodicalId":440287,"journal":{"name":"Zeta and 𝐿-functions in Number Theory and\n Combinatorics","volume":"89 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The Ihara zeta function\",\"authors\":\"Tongyu Yang, A. Terras\",\"doi\":\"10.1090/cbms/129/04\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce the definition of the Ihara zeta function and its determinant formula. We provide a detailed proof of the determinant formula by using the edge zeta function. This paper is based on an article [1] written by Audrey A. Terras with the addition of details and a focus on the proof.\",\"PeriodicalId\":440287,\"journal\":{\"name\":\"Zeta and 𝐿-functions in Number Theory and\\n Combinatorics\",\"volume\":\"89 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Zeta and 𝐿-functions in Number Theory and\\n Combinatorics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/cbms/129/04\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Zeta and 𝐿-functions in Number Theory and\n Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/cbms/129/04","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
本文介绍了Ihara zeta函数的定义及其行列式。利用边zeta函数给出了行列式的详细证明。本文基于Audrey a . Terras撰写的一篇文章b[1],并增加了细节和对证明的关注。
In this paper, we introduce the definition of the Ihara zeta function and its determinant formula. We provide a detailed proof of the determinant formula by using the edge zeta function. This paper is based on an article [1] written by Audrey A. Terras with the addition of details and a focus on the proof.