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

M. Z. Garaev, C. Y. Yildirim

math.NTarXiv:math/0610377

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'| |β'-12|, and we provide some other related results.

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