Browsing University Archives by Author "Eischen, Ellen"

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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. ...
Higher Congruences Between Modular Forms

Hsu, Catherine (University of Oregon, 2018-09-06)

In his seminal work on modular curves and the Eisenstein ideal, Mazur studied the existence of congruences between certain Eisenstein series and newforms, proving that Eisenstein ideals associated to weight 2 cusp forms ...

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