A remark on non-integral p-adic slopes for modular forms

Abstract

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

Minor changes. Final version. To appear in C.R. Math. 5 pages. (Formerly Section 7 of 1607.04658v1.)

References in corpus (4)

• Arithmetic properties of Fredholm series for p-adic modular forms
• Slopes of modular forms and the ghost conjecture
• Slopes of modular forms and the ghost conjecture, II
• Slopes of modular forms and the ghost conjecture (unabridged version)

Cited by in corpus (3)

• Slopes of modular forms and the ghost conjecture
• Slopes of modular forms and the ghost conjecture, II
• Slopes of modular forms and the ghost conjecture (unabridged version)