Partial Classicality of Hilbert Modular Forms
Number Theory
2022-05-31 v2
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.
Keywords
Cite
@article{arxiv.2109.00470,
title = {Partial Classicality of Hilbert Modular Forms},
author = {Chi-Yun Hsu},
journal= {arXiv preprint arXiv:2109.00470},
year = {2022}
}
Comments
15 pages, 6 figures. Incorporated referee's comments and updated references. To appear in J. Number Theory