Adiga, Chandrashekar and Ranganatha, D. (2018) On overpartition pairs into odd parts modulo powers of 2. Discrete Mathematics, 341 (11). 3141 - 3147. ISSN 1872-681X
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Official URL: https://doi.org/10.1016/j.disc.2018.08.002
Abstract
In 2012, Lin (Electron. J. Combin. 19(2) (2012) #P17) investigated the 2 and 3-divisibility properties for pp¯o(n), the number of overpartition pairs into odd parts. Using modular forms, he proved that for a fixed positive integer k, pp¯o(n) is almost always divisible by 2k. In this paper, we prove several congruences for pp¯o(n) modulo higher powers of 2 in an elementary way.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Partitions, Overpartitions pairs, Congruences |
| Subjects: | E Mathematical Science > Mathematics |
| Divisions: | Department of > Mathematics |
| Depositing User: | Manjula P Library Assistant |
| Date Deposited: | 05 Jul 2019 07:37 |
| Last Modified: | 11 Aug 2022 06:49 |
| URI: | http://eprints.uni-mysore.ac.in/id/eprint/4757 |
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