There exists a positive numerical constant $c$ such that $\zeta(s)$ has no zero in the region $\sigma \geq 1-\frac{c}{\log(|t|+2)}$
Davenport's Multiplicative Number Theory writes this on page $86$, and I am unsure what it says. I am assuming that $\zeta(s) \neq 0$ whenever $s$ satisfies $Re(s) \geq 1-\frac{c}{\log(|Im(s)|+2)}$ where $s$ is a complex number. Is this interpretation correct?
Also I searched MSE but other questions has simmilar statement but not this one.