Generalized higher order spt-functions
Number Theory
2012-03-28 v1 Combinatorics
Abstract
We give a new generalization of the spt-function of G.E. Andrews, namely , and give its combinatorial interpretation in terms of successive lower-Durfee squares. We then generalize the higher order spt-function , due to F.G. Garvan, to , thus providing a two-fold generalization of , and give its combinatorial interpretation.
Cite
@article{arxiv.1203.5848,
title = {Generalized higher order spt-functions},
author = {Atul Dixit and Ae Ja Yee},
journal= {arXiv preprint arXiv:1203.5848},
year = {2012}
}