On small distances between ordinates of zeros of $ζ(s)$ and $ζ'(s)$

M. Z. Garaev; C. Y. Yildirim

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arXiv · math/0610377

On small distances between ordinates of zeros of $ζ(s)$ and $ζ'(s)$

M. Z. Garaev·C. Y. Yildirim

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Abstract

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.

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BibTeX RIS

M. Z. Garaev, C. Y. Yildirim. 2007-03-19. On small distances between ordinates of zeros of $ζ(s)$ and $ζ'(s)$. https://arxiv.org/abs/math/0610377

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