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

C. Y. Yildirim; M. Z. Garaev

arxiv: math/0610377 · v2 · submitted 2006-10-11 · 🧮 math.NT

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

M. Z. Garaev , C. Y. Yildirim This is my paper

classification 🧮 math.NT

keywords zetabetagammazerodistancesexistsgamma-ordinates

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We prove that for any zero $\beta'+i\gamma'$ of $\zeta'(s)$ there exists a zero $\beta+i\gamma$ of $\zeta(s)$ such that $|\gamma-\gamma'|\ll \sqrt{|\beta'-\tfrac{1}{2}|},$ and we provide some other related results.

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

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