{"title":"关于Fricke群$\\Gamma_{0}^{+}(p)$的poincar<e:1>级数不消失的一个注记","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":"{\"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}","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
摘要
对于每一个素数p,我们给出了权值k为0 ðpÞ的poincar级数Pþ k ðz;mÞ在m中的一个不消失的上界。