Asymtotics for Moments of Higher Ranks
  Bringmann, Mahlburg, and Rhoades have found asymptotic expressions for all moments of the partition statistics rank and crank. In this work we extend their methods to higher ranks. The $T$-rank, introduced by Garvan, for odd integers T=3 is a natural generalization of the rank (T=3) and crank (T=1). 
Matthias Waldherr
math.NT