Wendell Ressler
Published 2014-09-26Version 1
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 this setting, and pay particular attention to non-symmetric irreducible systems of poles for a rational period function. This gives us a new expression for a class of rational period functions of any positive even integer weight on the Hecke groups. We illustrate these properties with examples of specific rational period functions. We also correct the wording of a theorem from an earlier paper.
Rational period functions on the Hecke groups
On the Diophantine Equation $p^x + p^y = z^{2n}$
On Ramanujan's Modular Equations and Hecke Groups
![QR code for arXiv:1409.7673 [math.NT]](http://oss.arxitics.com/images/favicon.svg)