Slopes of modular forms and the ghost conjecture
Pollack, Robert J.
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Citation (published version)RJ Pollack, John Bergdall. "Slopes of modular forms and the ghost conjecture." International Mathematics Research Notices, rnx141, https://doi.org/10.1093/imrn/rnx141
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".