Nous effectuons une estimation précise du nombre de spécialisations classiques en poids un d’une famille non-CM de formes modulaires propres ordinaires cuspidales. Nous donnons aussi des exemples où plusieurs familles se spécialisent sur la même forme de poids un.
We give precise estimates for the number of classical weight one specializations of a non-CM family of ordinary cuspidal eigenforms. We also provide examples to show how uniqueness fails with respect to membership of weight one forms in families.
@article{JTNB_2012__24_3_669_0,
author = {Dimitrov, Mladen and Ghate, Eknath},
title = {On classical weight one forms in {Hida} families},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {669--690},
publisher = {Soci\'et\'e Arithm\'etique de Bordeaux},
volume = {24},
number = {3},
year = {2012},
doi = {10.5802/jtnb.816},
zbl = {1271.11060},
mrnumber = {3010634},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/jtnb.816/}
}
TY - JOUR AU - Dimitrov, Mladen AU - Ghate, Eknath TI - On classical weight one forms in Hida families JO - Journal de théorie des nombres de Bordeaux PY - 2012 SP - 669 EP - 690 VL - 24 IS - 3 PB - Société Arithmétique de Bordeaux UR - http://archive.numdam.org/articles/10.5802/jtnb.816/ DO - 10.5802/jtnb.816 LA - en ID - JTNB_2012__24_3_669_0 ER -
%0 Journal Article %A Dimitrov, Mladen %A Ghate, Eknath %T On classical weight one forms in Hida families %J Journal de théorie des nombres de Bordeaux %D 2012 %P 669-690 %V 24 %N 3 %I Société Arithmétique de Bordeaux %U http://archive.numdam.org/articles/10.5802/jtnb.816/ %R 10.5802/jtnb.816 %G en %F JTNB_2012__24_3_669_0
Dimitrov, Mladen; Ghate, Eknath. On classical weight one forms in Hida families. Journal de théorie des nombres de Bordeaux, Tome 24 (2012) no. 3, pp. 669-690. doi : 10.5802/jtnb.816. http://archive.numdam.org/articles/10.5802/jtnb.816/
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