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Bounds of the roots of the real polynomial

Imrich Komara (1987)

Aplikace matematiky

An algorithm for the calculation of a lower bound of the absolute values of the roots of a real algebraic polynomial, of an arbitrary degree, is derived. An example is given to compare the bounds calculated by the method proposed and by other methods.

Branching data for algebraic functions and representability by radicals

Y. Burda, A. Khovanskii (2011)

Banach Center Publications

The branching data of an algebraic function is a list of orders of local monodromies around branching points. We present branching data that ensure that the algebraic functions having them are representable by radicals. This paper is a review of recent work by the authors and of closely related classical work by Ritt.

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