  We study the evaporation of (4+n)-dimensional rotating black holes into
scalar degrees of freedom on the brane. We calculate the corresponding
absorption probabilities and cross-sections obtaining analytic solutions in the
low-energy regime, and compare the derived analytic expressions to numerical
results, with very good agreement. We then consider the high-energy regime,
construct an analytic high-energy solution to the scalar-field equation by
employing a new method, and calculate the absorption probability and
cross-section for this energy regime, finding again a very good agreement with
the exact numerical results. We also determine the high-energy asymptotic value
of the total cross-section, and compare it to the analytic results derived from
the application of the geometrical optics limit.
