Roots of polynomials and the Sendov's conjecture (1806.00759v2)

Published 3 Jun 2018 in math.GM

Abstract: In this paper we first prove that a simple root of a polynomial satisfies the Sendov's conjecture. As the multiple roots trivially satisfy the Sendov's conjecture we conclude that the Sendov's conjecture holds true.

Summary

We haven't generated a summary for this paper yet.

Paper Prompts

Sign up for free to create and run prompts on this paper using GPT-5.

Top Community Prompts

Explain it Like I'm 14

Practical Applications

Conceptual Simplification

Sign Up to Activate View All Prompts

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Continue Learning

We haven't generated follow-up questions for this paper yet.

Authors (1)

Huan Xiao

Collections

Sign up for free to add this paper to one or more collections.