论文标题
索诺夫的猜想证明
Proof of Sendov's conjecture
论文作者
论文摘要
Sendov的猜想是在过去50年代首次引入的,他断言,如果多项式$ p $的所有零位于封闭的单元磁盘中,则每个零都必须在单位距离内有$ p $的关键点。本文确认了猜想。
Sendov's conjecture, which was first introduced in the last 50s, asserts that if all the zeros of a polynomial $p$ lie in the closed unit disk then for each zero there must be a critical point of $p$ within unit distance. This paper confirms the conjecture.