  In this letter, we show that the restoration of evanescent wave in perfect
lens obeys a new kind of convergence known as Cesaro convergence. Cesaro
convergence allows us to extend the domain of convergence that is analytically
continuing to the complex plane in terms of Riemann zeta function. Therefore,
from the properties of Riemann zeta function we show that it is not possible to
restore the evanescent wave for all the values of $r_z'$, [here $r_z'$ is
complex]. The special value, that is, $r_z'$ = 1=2+ib refers to the
non-existence of evanescent wave, is the physicists proof of Riemann
Hypothesis.
