English

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

Number Theory 2017-05-25 v2

Abstract

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

Cite

@article{arxiv.1611.01497,
  title  = {A remark on non-integral p-adic slopes for modular forms},
  author = {John Bergdall and Robert Pollack},
  journal= {arXiv preprint arXiv:1611.01497},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-22T16:42:36.461Z