A note on the quicksort asymptotics

Abstract

In a recent paper, Bindjeme and Fill obtained a surprisingly easy exact formula for the L-2-distance of the (normalized) number of comparisons of Quicksort under the uniform model to its limit. Shortly afterwards, Neininger proved a central limit theorem for the error. As a consequence, he obtained the asymptotics of the L-3-distance. In this short note, we use the moment transfer approach to re-prove Neininger\'s result. As a consequence, we obtain the asymptotics of the L-p-distance for all 1p<Copyright (c) 2013 Wiley Periodicals, Inc. Random Struct. Alg., 46,677-687, 2015