On small distances between ordinates of zeros of $ζ(s)$ and $ζ'(s)$
Abstract
Description
We prove that for any zero $β'+iγ'$ of $ζ'(s)$ there exists a zero $β+iγ$ of $ζ(s)$ such that $|γ-γ'|\ll \sqrt{|β'-\tfrac{1}{2}|},$ and we provide some other related results.
In the revised version, by using Theorem 1 and an idea of Haseo Ki, we obtain a substantial improvement upon the older version of Theorem 3
In the revised version, by using Theorem 1 and an idea of Haseo Ki, we obtain a substantial improvement upon the older version of Theorem 3