Slopes of modular forms and the ghost conjecture
Number Theory
2021-10-18 v2
Abstract
We formulate a conjecture on slopes of overconvergent p-adic cuspforms of any p-adic weight in the Gamma_0(N)-regular case. This conjecture unifies a conjecture of Buzzard on classical slopes and more recent conjectures on slopes "at the boundary of weight space".
Cite
@article{arxiv.1611.03804,
title = {Slopes of modular forms and the ghost conjecture},
author = {John Bergdall and Robert Pollack},
journal= {arXiv preprint arXiv:1611.03804},
year = {2021}
}
Comments
17 pages. 2 figures. Minor changes from v1. Final version. To appear in IMRN. arXiv admin note: text overlap with arXiv:1607.04658