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

dc.creatorGaraev, M. Z.
dc.creatorYildirim, C. Y.
dc.date2006-10-11
dc.date2007-03-19
dc.date.accessioned2026-07-07T07:52:20Z
dc.date.available2026-07-07T07:52:20Z
dc.descriptionWe 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.
dc.descriptionIn 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
dc.identifierhttps://arxiv.org/abs/math/0610377
dc.identifierhttp://arxiv.org/abs/math/0610377
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125841
dc.subjectNumber Theory
dc.subject11M26; 11M06
dc.titleOn small distances between ordinates of zeros of $ζ(s)$ and $ζ'(s)$
dc.typetext

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