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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: 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

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