1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.NT2016
Higher Order Smallest Parts Functions and Rank-Crank Moment Inequalities from Bailey Pairs
Catherine Babecki, Chris Jennings-Shaffer, Geoffrey Sangston
We generalize a result of Garvan on inequalities and interpretations of the moments of the partition rank and crank functions. In particular for nearly 30 Bailey pairs, we introduc…
math.NT2014★ 1 cited
Another proof of two modulo 3 congruences and another SPT crank for the number of smallest parts in overpartitions with even smallest part
Chris Jennings-Shaffer
By considering the -rank of an overpartition as well as a residual crank, we give another combinatorial refinement of the congruences $\overline{\mbox{spt}}_2(3n)\equiv \overl…