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Mock modular forms as $p$-adic modular forms

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Ben Kane
U Köln
Mit, 28/04/2010 - 14:15 - 15:15
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

In this talk we investigate properties of the coefficients of mock modular forms. After an appropriate correction term related to the shadow of the mock modular form, one sees interesting congruences related to modular forms. We will show that these congruences arise because a mock modular form combines with the Eichler integral of its shadow to produce a $p$-adic modular form.

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