Critical slope p-adic L-functions of CM modular forms
Number Theory
2014-11-25 v1
Abstract
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 the critical-slope L-function arising from Kato's Euler system and comparing this with results of Bellaiche on the critical-slope L-function defined using overconvergent modular symbols.
Keywords
Cite
@article{arxiv.1112.5579,
title = {Critical slope p-adic L-functions of CM modular forms},
author = {Antonio Lei and David Loeffler and Sarah Livia Zerbes},
journal= {arXiv preprint arXiv:1112.5579},
year = {2014}
}
Comments
14 pages