@inproceedings{38e1d01864b747338808e0018aa168d4,
title = "An algebraic-geometric method for computing Zolotarev polynomials",
abstract = "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 degree 5.",
keywords = "Algebraic curve, Algebraic ordinary differential equation, Radical parametrization, Rational parametrization, Zolotarev polynomial",
author = "Georg Grasegger and Vo, \{N. Thieu\}",
year = "2017",
month = jul,
day = "23",
doi = "10.1145/3087604.3087613",
language = "English",
series = "Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC",
publisher = "Association for Computing Machinery",
pages = "173--180",
editor = "Michael Burr",
booktitle = "ISSAC 2017 - Proceedings of the 2017 ACM International Symposium on Symbolic and Algebraic Computation",
address = "USA United States",
note = "42nd ACM International Symposium on Symbolic and Algebraic Computation, ISSAC 2017 ; Conference date: 25-07-2017 Through 28-07-2017",
}