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
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: |
https://doi.org/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 |
| URI: |
|
| 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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