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An explicit univariate and radical parametrization of the septic proper Zolotarev polynomials in power form
[article]

2020
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arXiv
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pre-print

The problem of determining an explicit one-parameter power form representation of the proper n-th degree Zolotarev polynomials on [-1,1] can be traced back to P. L. Chebyshev. It turned out to be complicated, even for small values of n. Such a representation was known to A. A. Markov (1889) for n=2 and n=3. But already for n=4 it seems that nobody really believed that an explicit form can be found. As a matter of fact it was, by V. A. Markov in 1892, as A. Shadrin put it in 2004. The next

arXiv:2002.00503v1
fatcat:boy7mxsjzrc2hcefcrb3bit4b4