A bijection for Euler's partition theorem in the spirit of Bressoud

2018/03/29 by Murray, John
#05A17 #05A19 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1803.11104

Abstract

For each positive integer n, we construct a bijection between the odd partitions and the distinct partitions of n which extends Bressoud's bijection 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 a recent bijection due to Chen, Gao, Ji and Li.

Related

• On certain partition bijections related to Euler's partition problem
• A Unification of Two Refinements of Euler's Partition Theorem
• Partition theorems and the Chinese remainder theorem
• On Euler's Theorem
• Glaisher's Partition problem