TY - JOUR
T1 - On the p-adic realization of elliptic polylogarithms for CM-elliptic curves
AU - Bannai, Kenichi
N1 - Copyright:
Copyright 2005 Elsevier Science B.V., Amsterdam. All rights reserved.
PY - 2002/6/1
Y1 - 2002/6/1
N2 - 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. Beǐlinson 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.
AB - 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. Beǐlinson 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.
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U2 - 10.1215/S0012-7094-02-11321-0
DO - 10.1215/S0012-7094-02-11321-0
M3 - Article
AN - SCOPUS:0036601391
VL - 113
SP - 193
EP - 236
JO - Duke Mathematical Journal
JF - Duke Mathematical Journal
SN - 0012-7094
IS - 2
ER -