Chida MHsieh M.-L.MING-LUN HSIEH2022-11-112022-11-11201800754102https://www.scopus.com/inward/record.uri?eid=2-s2.0-85044556958&doi=10.1515%2fcrelle-2015-0072&partnerID=40&md5=a7874fd1e8a2465c2ba0a2a79d58ac5ehttps://scholars.lib.ntu.edu.tw/handle/123456789/624835In 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.journal article10.1515/crelle-2015-00722-s2.0-85044556958