{"title":"A note on the non-vanishing of Poincaré series for the Fricke group $\\Gamma_{0}^{+}(p)$","authors":"Soyoung Choi, Bo-Hae Im","doi":"10.3792/PJAA.95.24","DOIUrl":null,"url":null,"abstract":"For each prime p, we give an upper bound in m for Poincaré series Pþ k ðz;mÞ of weight k for 0 ðpÞ to be non-vanishing.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3792/PJAA.95.24","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
For each prime p, we give an upper bound in m for Poincaré series Pþ k ðz;mÞ of weight k for 0 ðpÞ to be non-vanishing.