Published January 1, 2007 | Version v1
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On Small Distances Between Ordinates of Zeros of zeta(s) and zeta '(s)

  • 1. Univ Nacl Autonoma Mexico, Inst Matemat, Morelia 58089, Michoacan, Mexico

Description

We prove that for any zero beta' + i gamma' of zeta'(s) there exists a zero beta + i gamma of zeta(s) such that vertical bar gamma - gamma'vertical bar << root vertical bar beta' - 1/2 vertical bar, and we provide some other related results.

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