Continuous independence and the Ilieff-Sendov conjecture

Miller, Michael J.

doi:10.1090/S0002-9939-1992-1113647-X

Continuous independence and the Ilieff-Sendov conjecture
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Proc. Amer. Math. Soc. 115 (1992), 79-83 Request permission

Abstract:

A maximal polynomial is a complex polynomial that has all of its roots in the unit disk, one fixed root, and all of its critical points as far as possible from a fixed point. In this paper we determine a lower bound for the number of roots and critical points of a maximal polynomial that must lie on specified circles.

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