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Some Results for the Sendov Conjecture

✍ Scribed by Angelina Byrne

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 144 KB
Volume: 199
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0173

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✦ Synopsis

The Sendov conjecture may be stated as: If all zeros of a complex polynomial Ž .

< < X Ž . < < p z lie in z F 1, then there is always a zero of p z in z y a F 1, where a is Ž . any zero of p z . We find several easy to apply conditions for which this conjecture is true for polynomials of degree n. Ranges of values of a implied by these conditions are also given.

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