International Journal of Number Theory · 2008 · 55 citations · 26 references
Overpartition PairsOrder TheoryComputational Number TheoryCongruence PropertiesEnumerative CombinatoricsAlgebraic CombinatoricsOverpartition PairAnalytic CombinatoricsDiscrete MathematicsPartially Ordered SetSymbolic Method (Combinatorics)
The rank of an overpartition pair is a generalization of Dyson's rank of a partition. The purpose of this paper is to investigate the role that this statistic plays in the congruence properties of [Formula: see text], the number of overpartition pairs of n. Some generating functions and identities involving this rank are also presented.
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