Partial Classicality of Hilbert Modular Forms
arXiv:2109.00470 · doi:10.1016/j.jnt.2022.04.007
Abstract
Let F be a totally real field and p a rational prime unramified in F. We prove a partial classicality theorem for overconvergent Hilbert modular forms: when the slope is small compared to certain but not all weights, an overconvergent form is partially classical. We use the method of analytic continuation.
15 pages, 6 figures. Incorporated referee's comments and updated references. To appear in J. Number Theory