Rational period functions and indefinite binary quadratic forms in higher level cases
Volume 179 / 2017
Acta Arithmetica 179 (2017), 319-334
MSC: Primary 11F11; Secondary 11F67.
DOI: 10.4064/aa8556-2-2017
Published online: 1 August 2017
Abstract
Generalizing Gethner’s 1993 result we prove that rational period functions with irrational poles in higher level cases are not Hecke eigenfunctions. We also provide examples of rational period functions in level $2$ with irrational poles associated with indefinite binary quadratic forms by extending Choie and Parson’s 1990 result.
