Slopes of modular forms and the ghost conjecture
Files
Accepted manuscript
Date
2017-05
DOI
Authors
Pollack, Robert J.
Bergdall, John
Version
OA Version
Citation
RJ Pollack, John Bergdall. "Slopes of modular forms and the ghost conjecture." International Mathematics Research Notices, rnx141, https://doi.org/10.1093/imrn/rnx141
Abstract
We formulate a conjecture on slopes of overconvergent p-adic cusp forms 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".