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An Overpartition Analogue of Bressoud's Theorem of Rogers-Ramanujan-Gordon Type
the Rogers-Ramanujan-Gordon theorem overpartition Bressoud's theorem
2014/6/3
For k ≥ 2 and k ≥ i ≥ 1, let Bk,i(n) denote the number of partitions of n such that part 1 appears at most i-1 times, two consecutive integers l and l+1 appear at most k-1 times and if l and l+1 appea...
Arithmetic Properties of Overpartition Pairs
overpartition pairs rank of overpartition pairs congruence sum of squares
2014/6/3
Bringmann and Lovejoy introduced a rank for overpartition pairs and investigated its role in congruence properties of , the number of overpartition pairs of n. In particular, they applied the theory ...