Peer-Reviewed Journal Details
Mandatory Fields
Murray J.
2020
January
Ramanujan Journal
A bijection for Euler’s partition theorem in the spirit of Bressoud
Published
0 ()
Optional Fields
Distinct partitions Odd partitions Partition bijection
51
1
163
175
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.
1382-4090
10.1007/s11139-019-00162-z
Grant Details