3 citations · 5 across the 8 of their papers we have counts for
8 papers
Combinatorics on bounded free Motzkin paths and its applications
Hyunsoo Cho, JiSun Huh, Hayan Nam +1
In this paper, we construct a bijection from a set of bounded free Motzkin paths to a set of bounded Motzkin prefixes that induces a bijection from a set of bounded free Dyck paths…
Results on bar-core partitions, core shifted Young diagrams, and doubled distinct cores
Hyunsoo Cho, JiSun Huh, Hayan Nam +1
Simultaneous bar-cores, core shifted Young diagrams (or CSYDs), and doubled distinct cores have been studied since Morris and Yaseen introduced the concept of bar-cores. In this pa…
The -core partitions and the rational Motzkin paths
Hyunsoo Cho, JiSun Huh, Jaebum Sohn
In this paper, we propose an -abacus for -core partitions and establish a bijection between the -core partitions and the rational M…
Applications of the Heine and Bauer-Muir transformations to Rogers-Ramanujan type continued fractions
Jongsil Lee, James Mc Laughlin, Jaebum Sohn
In this paper we show that various continued fractions for the quotient of general Ramanujan functions may be derived from each other via Bauer-Muir transform…
Counting self-conjugate (s,s+1,s+2)-core partitions
Hyunsoo Cho, JiSun Huh, Jaebum Sohn
We are concerned with counting self-conjugate -core partitions. A Motzkin path of length is a path from to which stays above the -axis and consi…
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…
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…
From partition identities to a combinatorial approach to explicit Satake inversion
Heekyoung Hahn, JiSun Huh, EunSung Lim +1
In this paper, we provide combinatorial proofs for certain partition identities which arise naturally in the context of Langlands' beyond endoscopy proposal. These partition identi…