Families of Differential Operators Acting on Overconvergent Hilbert Modular Forms
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Date
2022-10-26
Authors
Aycock, Jon
Journal Title
Journal ISSN
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Publisher
University of Oregon
Abstract
We construct differential operators acting on overconvergent Hilbert modular forms. This extends work of Katz in the case of p-adic Hilbert modular forms, and of Harron--Xiao and Liu for overconvergent Siegel modular forms. The result has applications to the construction of p-adic L-functions in the presence of a Damerell-type formula.
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Keywords
Damerell, Maass--Shimura Operator, Overconvergent Hilbert Modular Forms, p-adic