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Sequences of odd length in strict partitions II: the -measure and refinements of Euler's theorem
Shishuo Fu, Haijun Li
The number of sequences of odd length in strict partitions (denoted as ), which plays a pivotal role in the first paper of this series, is investigated in different c…
math.CO2024
Sequences of odd length in strict partitions I: the combinatorics of double sum Rogers-Ramanujan type identities
Shishuo Fu, Haijun Li
Strict partitions are enumerated with respect to the weight, the number of parts, and the number of sequences of odd length. We write this trivariate generating function as a doubl…