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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.
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.
@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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/articles/10.5802/aif.1068/
DO - 10.5802/aif.1068
LA - en
ID - AIF_1986__36_4_31_0
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%D 1986
%P 31-68
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%N 4
%I Institut Fourier
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%U http://geodesic.mathdoc.fr/articles/10.5802/aif.1068/
%R 10.5802/aif.1068
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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://geodesic.mathdoc.fr/articles/10.5802/aif.1068/
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