Chebyshev representation for rational functions
Андрей Борисович Богатырев · Sbornik Mathematics · 2010
An eective representation is obtained for rational functions all of whose critical points, apart from g 1, are simple and their corresponding critical values lie in a four-element set. Such functions are described using hyperelliptic curves of genus g > 1. The classical Zolotarev fraction arises in this framework for g = 1. Bibliography: 8 titles.