  We analyze the time-dependent full-counting statistics of charges transmitted
through a quantum dot in the coherent regime. The generating function for the
time-dependent charge transfer statistics is evaluated numerically by
discretizing the Keldysh time contour, which allows us to compute the higher
order charge and current cumulants. We also develop an analytic expression for
all order cumulants at any time given as a function of the zeros of the
generating function, finding that the short time universality is due to the
presence of a dominant single zero. The robustness of the universal features at
short times is studied in both the sequential and coherent regimes.
