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math.CO2025
Inverse descent statistic for André and simsun permutations
Guo-Niu Han, Kathy Q. Ji, Huan Xiong
Simsun permutations, André I permutations and André II permutations are three combinatorial models for Euler numbers. It's known that the descent statistic is equidistributed over…
math.CO2025
A Self-Conjugate Partition Analog of -Core Partitions with Distinct Parts
Huan Xiong, Lihong Yang
Simultaneous core partitions have been widely studied in the past 20 years. In 2013, Amdeberhan gave several conjectures on the number, the average size, and the largest size of $(…