Non-archimedean Sendov's Conjecture

We prove non-archimedean analogue of Sendov's conjecure. We also provide complete list of polynomials over an algebraically closed non-archimedean field \(K\) that satisfy the optimal bound in the Sendov's conjecture.

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Bibliographic Details
Published inarXiv.org
Main Authors Choi, Daebeom, Lee, Seewoo
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 04.07.2021
Subjects
Mathematics - Number Theory
Polynomials
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Summary:We prove non-archimedean analogue of Sendov's conjecure. We also provide complete list of polynomials over an algebraically closed non-archimedean field \(K\) that satisfy the optimal bound in the Sendov's conjecture.
ISSN:2331-8422
DOI:10.48550/arxiv.2106.11155