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Browsing Office of the Vice President for Research and Innovation by Subject "Maass--Shimura Operator"

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Families of Differential Operators Acting on Overconvergent Hilbert Modular Forms

Aycock, Jon (University of Oregon, 2022-10-26)

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. ...