# 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} }

- Published in ISSAC 2017
DOI:10.1145/3087604.3087613

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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## An explicit univariate and radical parametrization of the sextic proper Zolotarev polynomials.

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## Computation of all rational solutions of first-order algebraic ODEs

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