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math.CO2018★ 1 cited
A bijection between self-conjugate and ordinary partitions and counting simultaneous cores as its application
Hyunsoo Cho, JiSun Huh, Jaebum Sohn
We give a bijection between the set of self-conjugate partitions and that of ordinary partitions. Also, we show the relation between hook lengths of self conjugate partition and co…
math.CO2018
A tiling proof of Euler's pentagnal number theorem and generalizations
Dennis Eichhorn, Hayan Nam, Jaebum Sohn
In two papers, Little and Sellers introduced an exciting new combinatorial method for proving partition identities which is not directly bijective. Instead, they consider various s…