Pairs of partitions without repeated odd parts

• Main Authors: Chan, Song Heng, Mao, Renrong
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2013
• Online Access: https://hdl.handle.net/10356/97686; http://hdl.handle.net/10220/17574
• Institution: Nanyang Technological University

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...