Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419153 | Journal of Mathematical Analysis and Applications | 2012 | 8 Pages |
Abstract
We prove two identities related to overpartition pairs. One of them gives a generalization of an identity due to Lovejoy, which was used in a joint work by Bringmann and Lovejoy to derive congruences for overpartition pairs. We apply our two identities on pairs of partitions where each partition has no repeated odd parts. We also present three partition statistics that give combinatorial explanations to a congruence modulo 3 satisfied by these partition pairs.
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Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Song Heng Chan, Renrong Mao,