Anna Posingies
Published 2011-11-04Version 1
Eisenstein series are real analytic functions which play a central role in spectral theory of the hyperbolic Laplacian. Kronecker limit formulas determine their connection to modular forms. The main result of this work is Theorem 7.2 in which a Kronecker limit formula for a family of non-congruence subgroups associated with the Fermat curves is presented. As an application we can determine the scattering constants for the Fermat curves in Theorem 8.1.
On scattering constants for a non-congruence subgroup
The classifying element for quotients of Fermat curves
Chebyshev's bias for Fermat curves of prime degree
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