  We review the problem of fluctuations in particle shower theory. By using a
generalization of Furry equation, we find relations between the $n$--particle
correlation function and the number of particles average or 1--particle
correlation function. Such relations show that the average is the only
independent dynamical variable. We also develop a numerical code to solve the
equation for the correlation functions and compare the results with those from
a Montecarlo simulation which show a perfect agreement between both methods.
