Comptes Rendus
no. 3
Number theory
A remark on non-integral p-adic slopes for modular forms
[Une remarque sur les pentes p-adiques non entières des formes modulaires]

Présenté par : Jean-Pierre Serre

John Bergdall1 ; Robert Pollack1
1 Department of Mathematics and Statistics, Boston University, 111 Cummington Mall, Boston, MA 02215, USA
Comptes Rendus. Mathématique, Volume 355 (2017) no. 3, pp. 260-262.

On donne une condition suffisante, à savoir « irrégularité au sens de Buzzard », pour qu'il existe une forme parabolique propre de pente p-adique non entière.

We give a sufficient condition, namely “Buzzard irregularity”, for there to exist a cuspidal eigenform which does not have integral p-adic slope.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.01.012
John Bergdall 1 ; Robert Pollack 1

1 Department of Mathematics and Statistics, Boston University, 111 Cummington Mall, Boston, MA 02215, USA 
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John Bergdall; Robert Pollack. A remark on non-integral p-adic slopes for modular forms. Comptes Rendus. Mathématique, Volume 355 (2017) no. 3, pp. 260-262. doi : 10.1016/j.crma.2017.01.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.01.012/

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