Dans cet article nous utilisons les résultats de notre article précédent sur l’interpolation -adique des dérivées logarithmiques des groupes formels dans le but de construire des fonctions -adiques attachées à certaines courbes elliptiques à multiplication complexe. Nos résultats portent notamment sur les courbes à réduction supersingulière.
In this paper we apply the results of our previous article on the -adic interpolation of logarithmic derivatives of formal groups to the construction of -adic -functions attached to certain elliptic curves with complex multiplication. Our results are primarily concerned with curves with supersingular reduction.
@article{AIF_1986__36_4_31_0,
author = {Boxall, John L.},
title = {A new construction of ${p}$-adic $L$-functions attached to certain elliptic curves with complex multiplication},
journal = {Annales de l'Institut Fourier},
pages = {31--68},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {36},
number = {4},
year = {1986},
doi = {10.5802/aif.1068},
mrnumber = {88c:11036},
zbl = {0608.14015},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/aif.1068/}
}
TY - JOUR
AU - Boxall, John L.
TI - A new construction of ${p}$-adic $L$-functions attached to certain elliptic curves with complex multiplication
JO - Annales de l'Institut Fourier
PY - 1986
SP - 31
EP - 68
VL - 36
IS - 4
PB - Institut Fourier
PP - Grenoble
UR - http://archive.numdam.org/articles/10.5802/aif.1068/
DO - 10.5802/aif.1068
LA - en
ID - AIF_1986__36_4_31_0
ER -
%0 Journal Article
%A Boxall, John L.
%T A new construction of ${p}$-adic $L$-functions attached to certain elliptic curves with complex multiplication
%J Annales de l'Institut Fourier
%D 1986
%P 31-68
%V 36
%N 4
%I Institut Fourier
%C Grenoble
%U http://archive.numdam.org/articles/10.5802/aif.1068/
%R 10.5802/aif.1068
%G en
%F AIF_1986__36_4_31_0
Boxall, John L. A new construction of ${p}$-adic $L$-functions attached to certain elliptic curves with complex multiplication. Annales de l'Institut Fourier, Tome 36 (1986) no. 4, pp. 31-68. doi : 10.5802/aif.1068. http://archive.numdam.org/articles/10.5802/aif.1068/
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