  We report the result of the search for neutrinoless double beta decay of
$^{82}$Se obtained with CUPID-0, the first large array of scintillating
Zn$^{82}$Se cryogenic calorimeters implementing particle identification. We
observe no signal in a 1.83 kg yr $^{82}$Se exposure and we set the most
stringent lower limit on the \onu $^{82}$Se half-life T$^{0\nu}_{1/2}>$
2.4$\times \mathrm{10}^{24}$ yr (90\% credible interval), which corresponds to
an effective Majorana neutrino mass m$_{\beta\beta} <$ (376-770) meV depending
on the nuclear matrix element calculations. The heat-light readout provides a
powerful tool for the rejection of \al\ particles and allows to suppress the
background in the region of interest down to
(3.6$^{+1.9}_{-1.4}$)$\times$10$^{-3}$\ckky, an unprecedented level for this
technique.
