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},
volume = {36},
year = {1986},
pages = {31-68},
doi = {10.5802/aif.1068},
mrnumber = {88c:11036},
zbl = {0608.14015},
language = {en},
url = {http://dml.mathdoc.fr/item/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) pp. 31-68. doi : 10.5802/aif.1068. http://gdmltest.u-ga.fr/item/AIF_1986__36_4_31_0/
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