5 citations · 5 across the 2 of their papers we have counts for
5 papers
Enumerating Parking Completions Using Join and Split
Ayomikun Adeniran, Steve Butler, Galen Dorpalen-Barry +5
Given a strictly increasing sequence with entries from , a parking completion is a sequence with and $|…
On the genus of a quotient of a numerical semigroup
Ayomikun Adeniran, Steve Butler, Colin Defant +6
We find a relation between the genus of a quotient of a numerical semigroup and the genus of itself. We use this identity to compute the genus of a quotient of when …
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…
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 -core partition is . He used various coordinate changes and one…
A bijective proof of Amdeberhan's conjecture on the number of -core partitions with distinct parts
Jineon Baek, Hayan Nam, Myungjun Yu
Amdeberhan conjectured that the number of -core partitions with distinct parts for an odd integer is . This conjecture was first proved by Yan, Qin, Jin and Z…