MATH Seminar

Title: Mock period functions, sesquiharmonic Maass forms, and non-critical values of L-functions
Seminar: Algebra
Speaker: Kathrin Bringmann of University of Cologne
Contact: Zachary A. Kent, kent@mathcs.emory.edu
Date: 2011-09-06 at 3:00PM
Venue: MSC E406
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Abstract:
In this talk we view the generating functions  of  L-functions associated to cusp forms in the framework of automorphic forms. We prove that it can be interpreted as a "mock period function".  Further, we show that non-critical values can be encoded into a "sesquiharmonic Maass form". Finally, we formulate and prove an Eichler-Shimura-type isomorphism for the space of mock period functions.

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