Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas最新文献

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The fundamental de Rham periods 基本的德拉姆周期
{"title":"The fundamental de Rham periods","authors":"","doi":"10.2307/j.ctv1nj3416.8","DOIUrl":"https://doi.org/10.2307/j.ctv1nj3416.8","url":null,"abstract":"","PeriodicalId":218121,"journal":{"name":"Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas","volume":"152 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128769306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bounding periods at supersingular CM points 超奇异CM点的边界周期
{"title":"Bounding periods at supersingular CM points","authors":"","doi":"10.2307/j.ctv1nj3416.11","DOIUrl":"https://doi.org/10.2307/j.ctv1nj3416.11","url":null,"abstract":"","PeriodicalId":218121,"journal":{"name":"Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121793301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Acknowledgments 致谢
{"title":"Acknowledgments","authors":"","doi":"10.2307/j.ctv1nj3416.4","DOIUrl":"https://doi.org/10.2307/j.ctv1nj3416.4","url":null,"abstract":"","PeriodicalId":218121,"journal":{"name":"Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115812915","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The p-adic Maass-Shimura operator
{"title":"The p-adic Maass-Shimura operator","authors":"","doi":"10.2307/j.ctv1nj3416.9","DOIUrl":"https://doi.org/10.2307/j.ctv1nj3416.9","url":null,"abstract":"","PeriodicalId":218121,"journal":{"name":"Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130110029","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
p-adic analysis of the p-adic Maass-Shimura operators p进mass - shimura算子的p进分析
{"title":"p-adic analysis of the p-adic Maass-Shimura operators","authors":"","doi":"10.2307/j.ctv1nj3416.10","DOIUrl":"https://doi.org/10.2307/j.ctv1nj3416.10","url":null,"abstract":"","PeriodicalId":218121,"journal":{"name":"Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128780684","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Index 指数
{"title":"Index","authors":"","doi":"10.2307/j.ctv1nj3416.15","DOIUrl":"https://doi.org/10.2307/j.ctv1nj3416.15","url":null,"abstract":"","PeriodicalId":218121,"journal":{"name":"Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117019014","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Supersingular Rankin-Selberg p-adic L-functions 超奇异Rankin-Selberg p-adic l -函数
{"title":"Supersingular Rankin-Selberg p-adic L-functions","authors":"","doi":"10.2307/j.ctv1nj3416.12","DOIUrl":"https://doi.org/10.2307/j.ctv1nj3416.12","url":null,"abstract":"","PeriodicalId":218121,"journal":{"name":"Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121677110","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The p-adic Waldspurger formula p进Waldspurger公式
Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas Pub Date : 2015-11-25 DOI: 10.1215/00127094-2017-0045
Yifeng Liu, Shou-wu Zhang, Wei Zhang
{"title":"The p-adic Waldspurger formula","authors":"Yifeng Liu, Shou-wu Zhang, Wei Zhang","doi":"10.1215/00127094-2017-0045","DOIUrl":"https://doi.org/10.1215/00127094-2017-0045","url":null,"abstract":"In this article, we study $p$-adic torus periods for certain $p$-adic valued functions on Shimura curves coming from classical origin. We prove a $p$-adic Waldspurger formula for these periods, generalizing the recent work of Bertolini, Darmon, and Prasanna. In pursuing such a formula, we construct a new anti-cyclotomic $p$-adic $L$-function of Rankin-Selberg type. At a character of positive weight, the $p$-adic $L$-function interpolates the central critical value of the complex Rankin-Selberg $L$-function. Its value at a Dirichlet character, which is outside the range of interpolation, essentially computes the corresponding $p$-adic torus period.","PeriodicalId":218121,"journal":{"name":"Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas","volume":"101 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121853412","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 21
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