An Estimation of the Values of Some Zeta Functions on the Line $\sigma = 1$

In this paper we give a new estimation of some zeta functions on the line $\sigma=1$. More Exactly, we show $\zeta^{(m)}(1+it) = O( \log^{\epsilon} t )$ and $1/\zeta(1+it) = O( \log^{\epsilon} t )$ for an arbitrary positive number $\epsilon > 0$.