{"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}
引用次数: 1
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.