Pairs of partitions without repeated odd parts |
| |
Authors: | Song Heng Chan Renrong Mao |
| |
Institution: | Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Republic of Singapore |
| |
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. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|