Hayan Nam

activity

20172019

most citedA bijective proof of Amdeberhan's conjecture on the number of

(s, s + 2)

-core partitions with distinct parts

5 citations · 5 across the 2 of their papers we have counts for

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Showing 2017Show all

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math.CO2017

Johnson's bijections and their application to counting simultaneous core partitions

Jineon Baek, Hayan Nam, Myungjun Yu

Johnson recently proved Armstrong's conjecture which states that the average size of an $(a, b)$ -core partition is $(a + b + 1) (a - 1) (b - 1) /24$ . He used various coordinate changes and one…

math.CO2017★ 5 cited

A bijective proof of Amdeberhan's conjecture on the number of $(s, s + 2)$ -core partitions with distinct parts

Jineon Baek, Hayan Nam, Myungjun Yu

Amdeberhan conjectured that the number of $(s, s + 2)$ -core partitions with distinct parts for an odd integer $s$ is $2^{s - 1}$ . This conjecture was first proved by Yan, Qin, Jin and Z…

Johnson's bijections and their application to counting simultaneous core partitions

A bijective proof of Amdeberhan's conjecture on the number of (s,s+2)-core partitions with distinct parts

A bijective proof of Amdeberhan's conjecture on the number of $(s, s + 2)$ -core partitions with distinct parts