Effective Upper Bound Estimates for $\mathrm{\mid }{\zeta }^{\mathrm{\prime }}(1\mathrm{/}2+it)\mathrm{\mid }$ via Exponential Sums

In this paper, we use methods of exponential sums to derive a formula for estimating effective upper bounds of $\mathrm{\mid }{\zeta }^{\mathrm{\prime }}(1\mathrm{/}2+it)\mathrm{\mid }$. Different effective upper bounds can be obtained by choosing different parameters.