On the exact location of the zeros of certain families of rational period functions and other related rational functions
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- by Ellen Gethner PDF
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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.References
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Additional Information
- Ellen Gethner
- Affiliation: Department of Mathematics, Claremont McKenna College, Claremont, California 91711
- Email: egethner@mckenna.edu
- 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
- © Copyright 1999 American Mathematical Society
- 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