An Algebraic-Geometric Method for Computing Zolotarev Polynomials

@inproceedings{Grasegger2017AnAM,
  title={An Algebraic-Geometric Method for Computing Zolotarev Polynomials},
  author={Georg Grasegger and N. Thieu Vo},
  booktitle={ISSAC},
  year={2017}
}
In this paper we study a differential equation which arises from the theory of Zolotarev polynomials. By extending a symbolic algorithm for finding rational solutions of algebraic ordinary differential equations, we construct a method for computing explicit expressions for Zolotarev polynomials. This method is an algebraic geometric one and works subject to (radical) parametrization of algebraic curves. As a main application we compute the explicit form of the proper Zolotarev polynomial of… CONTINUE READING

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