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Kronecker limit formula for Fermat curves

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Speaker: 
Anna Posingies
Affiliation: 
U Hamburg/Hausdorff Bonn
Date: 
Wed, 2010-03-17 14:15 - 15:15
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

We will consider the n-th Fermat curve together with a cover of projective space. There is a (non congruence) subgroup of the full modular group associated to this cover for which the modular forms are known. We will describe a connection of non-holomorphic Eisenstein series and certain modular forms. From that we can derive the scattering constants that have some applications in Arakelov theory.

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