Geometric and p-adic Modular Forms of Half-Integral Weight
[Formes modulaires géometriques et p-adiques des poids demi-entiers]
Ramsey, Nick
Annales de l'Institut Fourier, Tome 56 (2006), p. 599-624 / Harvested from Numdam
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Nous nous proposons ici de présenter un formalisme géométrique ayant pour but l’étude des formes modulaires des poids demi-entiers. Ce formalisme est mis à contribution pour définir les formes modulaires p-adiques des poids demi-entiers, et dans la construction des opérateurs de Hecke p-adiques.

In this paper we introduce a geometric formalism for studying modular forms of half-integral weight. We then use this formalism to define p-adic modular forms of half-integral weight and to construct p-adic Hecke operators.

Publié le : 2006-01-01
DOI : https://doi.org/10.5802/aif.2195
Classification:  11F33,  11F37
Mots clés: formes modulaires des poids demi-entiers, formes modulaires p-adiques 
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     title = {Geometric and $p$-adic Modular Forms of Half-Integral Weight},
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     volume = {56},
     year = {2006},
     pages = {599-624},
     doi = {10.5802/aif.2195},
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Ramsey, Nick. Geometric and $p$-adic Modular Forms of Half-Integral Weight. Annales de l'Institut Fourier, Tome 56 (2006) pp. 599-624. doi : 10.5802/aif.2195. http://gdmltest.u-ga.fr/item/AIF_2006__56_3_599_0/

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