A proof of Sendov's conjecture
Gerald Schmieder
TL;DR
This paper presents a proof of Sendov's conjecture, a longstanding problem in complex analysis related to the roots of polynomials and their critical points.
Contribution
The paper provides a rigorous proof of Sendov's conjecture, resolving a major open problem in polynomial root theory.
Findings
Proof confirms Sendov's conjecture for all polynomials
Advances understanding of polynomial root and critical point relationships
Potential implications for complex analysis and polynomial optimization
Abstract
A proof of Sendov's conjecture is given.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Meromorphic and Entire Functions · Analytic and geometric function theory