6 citations · 11 across the 7 of their papers we have counts for
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On integer partitions corresponding to numerical semigroups
Hannah E. Burson, Hayan Nam, Simone Sisneros-Thiry
Numerical semigroups are cofinite additive submonoids of the natural numbers. In 2011, Keith and Nath illustrated an injection from numerical semigroups to integer partitions. We e…
Jordan--Landau theorem for matrices over finite fields
Gilyoung Cheong, Jungin Lee, Hayan Nam +1
Given a positive integer and a prime power , we estimate the probability that the characteristic polynomial of a random matrix in $\mathrm{GL}_{n}(\mathbb{F}_…
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 $|…
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…