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Murray, John (2020) A bijection for Euler’s partition theorem in the spirit of Bressoud. The Ramanujan Journal, 51 (1). pp. 163-175. ISSN 1382-4090
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Abstract
For each positive integer n, we construct a bijection between the odd partitions of n and the distinct partitions of n. Our bijection extends a bijection of Bressoud between the odd-and-distinct partitions of n and the splitting partitions of n. We compare our bijection with the classical bijections of Glaisher and Sylvester, and also with one recently constructed by Chen, Gao, Ji and Li.
| Item Type: | Article |
|---|---|
| Additional Information: | This is a preprint version of the published article, which is available at: Murray, J. A bijection for Euler’s partition theorem in the spirit of Bressoud. Ramanujan J 51, 163–175 (2020). https://doi.org/10.1007/s11139-019-00162-z |
| Keywords: | Odd partitions; Distinct partitions; Partition bijection; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 15580 |
| Identification Number: | 10.1007/s11139-019-00162-z |
| Depositing User: | Dr. John Murray |
| Date Deposited: | 25 Feb 2022 16:21 |
| Journal or Publication Title: | The Ramanujan Journal |
| Publisher: | Springer |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/15580 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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