Type: Article

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

M. Z. Garaev; C. Y. Yildirim;

Abstract:

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.