https://scholars.lib.ntu.edu.tw/handle/123456789/624835
標題: | Special values of anticyclotomic L-functions for modular forms | 作者: | Chida M Hsieh M.-L. MING-LUN HSIEH |
公開日期: | 2018 | 卷: | 2018 | 期: | 741 | 起(迄)頁: | 87-131 | 來源出版物: | Journal fur die Reine und Angewandte Mathematik | 摘要: | In this article, we generalize some works of Bertolini-Darmon and Vatsal on anticyclotomic L-functions attached to modular forms of weight two to higher weight case. We construct a class of anticyclotomic p-adic L-functions for ordinary modular forms and derive the functional equation and the interpolation formula at all critical specializations. Moreover, we prove results on the vanishing of μ-invariant of these p-adic L-functions and the non-vanishing of central L-values with anticyclotomic twists. © 2018 Walter de Gruyter GmbH, Berlin/Boston. |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85044556958&doi=10.1515%2fcrelle-2015-0072&partnerID=40&md5=a7874fd1e8a2465c2ba0a2a79d58ac5e https://scholars.lib.ntu.edu.tw/handle/123456789/624835 |
ISSN: | 00754102 | DOI: | 10.1515/crelle-2015-0072 |
顯示於: | 數學系 |
在 IR 系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。