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arXiv · 2109.00470

Partial Classicality of Hilbert Modular Forms

Chi-Yun Hsu
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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.

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Chi-Yun Hsu. 2021-09-01. Partial Classicality of Hilbert Modular Forms. https://doi.org/10.1016/j.jnt.2022.04.007

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