7 problems

Assume the Riemann hypothesis. Let $\zeta(s)$ be the Riemann zeta function, write $s=\sigma+it$, let $c>0$, and let $\sigma_1<1$. Let $\gamma$ and $\gamma^+$ denote consecutive ord…

Differentiation is better than midpoint conjecture. The gaps between consecutive zeros of $f'$ lie between the infimum and supremum of the corresponding two-step midpoint-process g…

Let $\rho'=\beta'+i\gamma'$ be a sequence of type 2 zeros of $\zeta'(s)$, and let the sum range over the other zeros $\lambda'\ne\rho'$ of $\zeta'(s)$. Stopple's type 2 curvature e…

Let $\rho'=\beta'+i\gamma'$ be a type 2 zero of $\zeta'(s)$, and let $\gamma^-$ and $\gamma^+$ denote the ordinates of the neighboring zeros of $\zeta(s)$ relevant to its type 2 cl…

Let $\lambda_j=\eta_j^2$ be the transformed nontrivial zeta zeros, ordered as in the source. For a parameter $\gamma$ with … consider consecutive transformed zeros that are not con…

Let $\rho_k$ be the nontrivial zeros of the Riemann zeta function with positive imaginary part, and set … Let $\Lambda$ be the associated entire function, and let its spacing const…

Let $\mathcal{L}\text{-}\mathcal{P}_n$ denote the real polynomials of degree $n$ with only real zeros, and let $\mu(p)$ be the minimum spacing between neighboring zeros. For $p$, d…