Kronecker limit formulas and scattering constants for Fermat curves

Details Kronecker limit formulas and scattering constants for Fermat curves Kronecker limit formulas and scattering constants for Fermat curves

2011-11-04

arxiv.org/abs/1111.1132v1

Mathematics

Number Theory

Scientific paper

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.

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