Displaying similar documents to “ n -color partition theoretic interpretations of some mock theta functions.”

Self-conjugate vector partitions and the parity of the spt-function

George E. Andrews, Frank G. Garvan, Jie Liang (2013)

Acta Arithmetica


Let spt(n) denote the total number of appearances of the smallest parts in all the partitions of n. Recently, we found new combinatorial interpretations of congruences for the spt-function modulo 5 and 7. These interpretations were in terms of a restricted set of weighted vector partitions which we call S-partitions. We prove that the number of self-conjugate S-partitions, counted with a certain weight, is related to the coefficients of a certain mock theta function studied by the first...

On Stanley's partition function.

Chen, William Y.C., Ji, Kathy Q., Zhu, Albert J.W. (2010)

The Electronic Journal of Combinatorics [electronic only]