Non-archimedean Sendov's Conjecture
Number Theory
2024-03-22 v2
Abstract
We prove non-archimedean analogue of Sendov's conjecure. We also provide complete list of polynomials over an algebraically closed non-archimedean field that satisfy the optimal bound in the Sendov's conjecture.
Cite
@article{arxiv.2106.11155,
title = {Non-archimedean Sendov's Conjecture},
author = {Daebeom Choi and Seewoo Lee},
journal= {arXiv preprint arXiv:2106.11155},
year = {2024}
}
Comments
4 pages, criterion for polynomials of degree $n$ with $v(n) = 0$ is added