naa a22 4500 510782353 CHVBK 20180411083251.0 cr unu---uuuuu 180411e20131101xx s 000 0 eng 10.1007/s11856-013-0020-0 doi (NATIONALLICENCE)springer-10.1007/s11856-013-0020-0 Critical slope p -adic L -functions of CM modular forms [Elektronische Daten] [Antonio Lei, David Loeffler, Sarah Zerbes] For ordinary modular forms, there are two constructions of a p-adic L-function attached to the non-unit root of the Hecke polynomial, which are conjectured but not known to coincide. We prove this conjecture for modular forms of CM type, by calculating the critical-slope L-function arising from Kato's Euler system and comparing this with results of Bellaïche on the critical-slope L-function defined using overconvergent modular symbols. Hebrew University Magnes Press, 2013 Lei Antonio Department of Mathematics and Statistics Burnside Hall, McGill University, H3A 2K6, Montreal, QC, Canada aut Loeffler David Mathematics Institute Zeeman Building, University of Warwick, CV4 7AL, Coventry, UK aut Zerbes Sarah Mathematics Research Institute Harrison Building, University of Exeter, EX4 4QF, Exeter, UK aut Israel Journal of Mathematics Springer US; http://www.springer-ny.com 198/1(2013-11-01), 261-282 0021-2172 198:1<261 2013 198 11856 https://doi.org/10.1007/s11856-013-0020-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-013-0020-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lei Antonio Department of Mathematics and Statistics Burnside Hall, McGill University, H3A 2K6, Montreal, QC, Canada aut NATIONALLICENCE 700 1- Loeffler David Mathematics Institute Zeeman Building, University of Warwick, CV4 7AL, Coventry, UK aut NATIONALLICENCE 700 1- Zerbes Sarah Mathematics Research Institute Harrison Building, University of Exeter, EX4 4QF, Exeter, UK aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer US; http://www.springer-ny.com 198/1(2013-11-01), 261-282 0021-2172 198:1<261 2013 198 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer