Non-archimedean Sendov's Conjecture

Fuente: arXiv
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Auteurs principaux: Choi, Daebeom, Lee, Seewoo
Format: Preprint
Publié: 2021
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author Choi, Daebeom
Lee, Seewoo
author_facet Choi, Daebeom
Lee, Seewoo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2106_11155
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Non-archimedean Sendov's Conjecture
Choi, Daebeom
Lee, Seewoo
Number Theory
11C08, 11S05
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.
title Non-archimedean Sendov's Conjecture
topic Number Theory
11C08, 11S05
url https://arxiv.org/abs/2106.11155