3 papers
math.NT2021
Conjugacy classes and rational period functions for the Hecke groups
Wendell Ressler
We establish a one-to-one correspondence between conjugacy classes of any Hecke group and irreducible systems of poles of rational period functions for automorphic integrals on the…
math.NT2014
Hecke-Symmetry and Rational Period Functions
Wendell Ressler
In this paper we continue work in the direction of a characterization of rational period functions on the Hecke groups. We examine the role that Hecke-symmetry of poles plays in th…
math.NT2008
A Hecke Correspondence Theorem for Automorphic Integrals with Symmetric Rational Period Functions on the Hecke Groups
Wendell Ressler
Marvin Knopp developed the theory of automorphic integrals, which generalize automorphic forms; each automorphic integral has an additional period function in its automorphic relat…