I would like to know more about the behavior of Riemann zeta function and it's
lower bound , after some calculations which i performed in wolfram alpha I got this result :
Result: $|\zeta(z)| \leq |z| $ for $z =\alpha+i\beta $ where $(\alpha , \beta) > $0.
My question here : Is the above result true and if it is true how do i can show it ?
Thank you for any help !!!!