Let E be a CM-elliptic curve over ℚ with
good ordinary reduction at a prime p≥5. The purpose of this paper
is to construct the p-adic elliptic polylogarithm of E,
following the method of A. Beĭlinson and A. Levin. Our main
result is that the specializations of this object at torsion points
give the special values of the one-variable p-adic L-function of
the Grössencharakter associated to E.
Publié le : 2002-06-01
Classification:
11G55,
11G07,
11G15,
14F30,
14G10
@article{1087575250,
author = {Bannai, Kenichi},
title = {On the p-adic realization of elliptic polylogarithms for CM-elliptic curves},
journal = {Duke Math. J.},
volume = {115},
number = {1},
year = {2002},
pages = { 193-236},
language = {en},
url = {http://dml.mathdoc.fr/item/1087575250}
}
Bannai, Kenichi. On the p-adic realization of elliptic polylogarithms for CM-elliptic curves. Duke Math. J., Tome 115 (2002) no. 1, pp. 193-236. http://gdmltest.u-ga.fr/item/1087575250/