On classical weight one forms in Hida families

Dimitrov, Mladen; Ghate, Eknath

doi:10.5802/jtnb.816

Dimitrov, Mladen ¹ ; Ghate, Eknath ²

¹ Laboratoire Paul Painlevé Université Lille 1, U.F.R. de Mathématiques 59655 Villeneuve d’Ascq cedex, France
² School of Mathematics Tata Institute of Fundamental Research Homi Bhabha Road, Mumbai 400005, India

Journal de théorie des nombres de Bordeaux, Tome 24 (2012) no. 3, pp. 669-690.

Résumé
Abstract

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.

MR Zbl | 3 citations dans Numdam

DOI : 10.5802/jtnb.816

Classification : 11F80, 11F33, 11R23

Affiliations des auteurs :

Dimitrov, Mladen ¹ ; Ghate, Eknath ²

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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. https://www.numdam.org/articles/10.5802/jtnb.816/

Bibliographie
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