Rational period functions on the Hecke groups

Mathematics – Number Theory

Scientific paper

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14 pages. To be published in The Ramanujan Journal. See also http://www.fandm.edu/people/w_ressler/

Scientific paper

10.1023/A:1012926712079

We describe rational period functions on the Hecke groups and characterize
the ones whose poles satisfy a certain symmetry. This generalizes part of the
characterization of rational period functions on the modular group, which is
one of the Hecke groups.

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