$ζ(s)$和$ζ'(s)$的零点坐标间小距离的条件估计
Conditional estimates on small distances between ordinates of zeros of $ζ(s)$ and $ζ'(s)$
摘要：
令$β'+iγ'$为$ζ'(s)$的零。在\cite{GYi} Garaev和Yıldırım证明，有一个零$β+iγ$的$ζ(s)$与$ γ'-γ\ll \sqrt{|β'-1/2|} $。假设RH，我们通过保存因子$\sqrt{\log\logγ'}$来改进该界限。
英文摘要：
Let $β'+iγ'$ be a zero of $ζ'(s)$. In \cite{GYi} Garaev and Yıldırım proved that there is a zero $β+iγ$ of $ζ(s)$ with $ γ'-γ\ll \sqrt{|β'-1/2|} $. Assuming RH, we improve this bound by saving a factor $\sqrt{\log\logγ'}$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
