  In this short letter, we reformulate the Riemann zeta function using the
holographic framework of the celestial conformal field theory. For spacetime
dimension larger than our Minkowski spacetime $M^4$, the Riemann zeta function
is connected with the sum of the conformal primary wavefunctions evaluated over
a chain of points on the holographic boundary. Using analytic continuation, it
follows that the nontrivial zeros of the Riemann zeta function is connected
with the scaling dimension of conformal operators on the celestial circle. We
discuss possible considerations with the spectrum of the celestial conformal
field theory, number theory and topology.
