Sums of Powered Characteristic Roots Count Distance-Independent Circular Sets

The article is a survey on problem of the theorem of Hurwitz. The starting point of explanations is Schur's decomposition theorem for polynomials. It is showed how to obtain the well-known criteria on the distribution of roots of polynomials. The theorem on uniqueness of constants in Schur's decomposition seems to be new.

Note on the location of the roots of a polynomial

J. L. Walsh (1926)

Mathematische Zeitschrift

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A $β$ invariant for greedoids and antimatroids.

Gordon, Gary (1997)

The Electronic Journal of Combinatorics [electronic only]

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Simple polynomials

Miloš Kössler (1951)

Czechoslovak Mathematical Journal

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