We give a sufficient condition, namely “Buzzard irregularity”, for there to exist a cuspidal eigenform which does not have integral p-adic slope.
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.
Accepted:
Published online:
John Bergdall 1; Robert Pollack 1
@article{CRMATH_2017__355_3_260_0, author = {John Bergdall and Robert Pollack}, title = {A remark on non-integral \protect\emph{p}-adic slopes for modular forms}, journal = {Comptes Rendus. Math\'ematique}, pages = {260--262}, publisher = {Elsevier}, volume = {355}, number = {3}, year = {2017}, doi = {10.1016/j.crma.2017.01.012}, language = {en}, }
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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