Pairs of partitions without repeated odd parts
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...
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sg-ntu-dr.10356-976862020-03-07T12:31:32Z Pairs of partitions without repeated odd parts Chan, Song Heng Mao, Renrong School of Physical and Mathematical Sciences 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. 2013-11-11T05:34:22Z 2019-12-06T19:45:28Z 2013-11-11T05:34:22Z 2019-12-06T19:45:28Z 2012 2012 Journal Article Chan, S. H., & Mao, R. (2012). Pairs of partitions without repeated odd parts. Journal of Mathematical Analysis and Applications, 394(1), 408-415. 0022-247X https://hdl.handle.net/10356/97686 http://hdl.handle.net/10220/17574 10.1016/j.jmaa.2012.04.030 en Journal of mathematical analysis and applications |
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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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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Chan, Song Heng Mao, Renrong |
| format |
Article |
| author |
Chan, Song Heng Mao, Renrong |
| spellingShingle |
Chan, Song Heng Mao, Renrong Pairs of partitions without repeated odd parts |
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Chan, Song Heng |
| title |
Pairs of partitions without repeated odd parts |
| title_short |
Pairs of partitions without repeated odd parts |
| title_full |
Pairs of partitions without repeated odd parts |
| title_fullStr |
Pairs of partitions without repeated odd parts |
| title_full_unstemmed |
Pairs of partitions without repeated odd parts |
| title_sort |
pairs of partitions without repeated odd parts |
| publishDate |
2013 |
| url |
https://hdl.handle.net/10356/97686 http://hdl.handle.net/10220/17574 |
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1681044242270519296 |