The f(q) mock theta function conjecture and partition ranks

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Partitions, Durfee symbols, and the Atkin–Garvan moments of ranks (2007, background): “It should be mentioned that S. Garthwaite [18] has recently completed a study of the coefficients of ω(q) that is analogous to the work of Bringmann and Ono [ 13 ] for f(q) = R1(−1; q).”
Automorphic Properties of Generating Functions for Generalized Rank Moments and Durfee Symbols (2008, background): “In light of recent work of the rst author and Ono [ 13 , 14] combined with work of Zwegers [32], [33] we now know that what Ramanujan called mock theta functions in his last letter to Hardy [30] are actually \holomorphic parts" of weak Maass forms.”
Notes on the K3 Surface and the Mathieu Group M 24 (2010, methodology): “In such a situation we can use the method recently developed in [ Zwegers 02 , Bringmann and Ono 06 , Bringmann and Ono 08 , Zagier 07 ] and construct the Poincare–Maass series to derive the above asymptotic formula.”