On the exact location of the zeros

of certain families of rational period functions

and other related rational functions

Author:
Ellen Gethner

Journal:
Proc. Amer. Math. Soc. **127** (1999), 1-10

MSC (1991):
Primary 11F99

DOI:
https://doi.org/10.1090/S0002-9939-99-05006-6

MathSciNet review:
1622750

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Abstract | References | Similar Articles | Additional Information

Abstract: The classification of Rational Period Functions on the modular group has been of some interest recently, and was accomplished by studying the pole sets of these rational functions. We take a complex analytic point of view and begin an investigation into the location of zeros of certain families of rational period functions.

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Additional Information

**Ellen Gethner**

Affiliation:
Department of Mathematics, Claremont McKenna College, Claremont, California 91711

Email:
egethner@mckenna.edu

DOI:
https://doi.org/10.1090/S0002-9939-99-05006-6

Received by editor(s):
August 10, 1996

Additional Notes:
The author’s research at MSRI was supported in part by NSF grant DMS-9022140

Communicated by:
Dennis A. Hejhal

Article copyright:
© Copyright 1999
American Mathematical Society