On the exact location of the zeros of certain families of rational period functions and other related rational functions

Gethner, Ellen

doi:10.1090/S0002-9939-99-05006-6

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

Proc. Amer. Math. Soc. 127 (1999), 1-10 Request permission

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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