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Anna Posingies

Publications and source records attributed to Anna Posingies.

2 recordsLinked to original sources
arXiv2011

Kronecker limit formulas and scattering constants for Fermat curves

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.

math.NT↗
arXiv2009

On scattering constants for a non-congruence subgroup

Scattering constants are special values of Dirichlet series associated to non-holomorphic Eisenstein series. In this paper we give closed formulas for the scattering constants related to a non-congruence subgroup obtained via a Belyi map of an elliptic curve.

math.NT↗