Le but de cet article est de généraliser à certains groupes formels, commutatifs, de dimension un, de hauteur supérieure à un et définis sur l’anneau des entiers d’une extension finie de , quelques résultats sur l’interpolation -adique développés par Kubota, Leopoldt, Iwasawa, Mazur, Katz et d’autres, notamment pour le groupe multiplicatif , dont se sont servis ces auteurs pour la construction des fonctions -adiques.
The purpose of this paper is to generalize, to certain commutative formal groups of dimension one and height greater than one defined over the ring of integers of a finite extension of , some results on -adic interpolation developed by Kubota, Leopoldt, Iwasawa, Mazur, Katz and others notably for the multiplicative group , and which they used to construct -adic -functions.
@article{AIF_1986__36_3_1_0,
author = {Boxall, John L.},
title = {$p$-adic interpolation of logarithmic derivatives associated to certain {Lubin-Tate} formal groups},
journal = {Annales de l'Institut Fourier},
pages = {1--27},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {36},
number = {3},
year = {1986},
doi = {10.5802/aif.1056},
mrnumber = {88f:11113},
zbl = {0587.12007},
language = {en},
url = {http://www.numdam.org/articles/10.5802/aif.1056/}
}
TY - JOUR AU - Boxall, John L. TI - $p$-adic interpolation of logarithmic derivatives associated to certain Lubin-Tate formal groups JO - Annales de l'Institut Fourier PY - 1986 SP - 1 EP - 27 VL - 36 IS - 3 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.1056/ DO - 10.5802/aif.1056 LA - en ID - AIF_1986__36_3_1_0 ER -
%0 Journal Article %A Boxall, John L. %T $p$-adic interpolation of logarithmic derivatives associated to certain Lubin-Tate formal groups %J Annales de l'Institut Fourier %D 1986 %P 1-27 %V 36 %N 3 %I Institut Fourier %C Grenoble %U http://www.numdam.org/articles/10.5802/aif.1056/ %R 10.5802/aif.1056 %G en %F AIF_1986__36_3_1_0
Boxall, John L. $p$-adic interpolation of logarithmic derivatives associated to certain Lubin-Tate formal groups. Annales de l'Institut Fourier, Tome 36 (1986) no. 3, pp. 1-27. doi : 10.5802/aif.1056. http://www.numdam.org/articles/10.5802/aif.1056/
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