Displaying similar documents to “Observations on the parity of the total number of parts in odd--part partitions.”

On Stanley's partition function.

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

The Electronic Journal of Combinatorics [electronic only]

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

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

Acta Arithmetica

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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...