Byungchan Kim

activity

20242026

collaborators

4 papers

math.NT2026

Inequalities for the number of $t$ -hooks in two partition classes arising from sum-product identities

Aritram Dhar, Byungchan Kim, Eunmi Kim +1

Motivated by recent study on the number of $t$ -hooks in partitions arising from Euler's partition identity, we investigate the number of $t$ -hooks in the sets from the first Rogers…

math.NT2025

Modularity of moments of reciprocal sums for partitions into distinct parts

Kathrin Bringmann, Byungchan Kim, Eunmi Kim

In this paper, we determine modularity properties of the generating function of $s_{k} (n)$ which sums $k$ -th power of reciprocals of parts throughout all of the partitions of $n$ int…

math.CO2025

On the distribution of $t$ -hooks of doubled distinct partitions

Hyunsoo Cho, Byungchan Kim, Eunmi Kim +1

Recently, Griffin, Ono, and Tsai examined the distribution of the number of $t$ -hooks in partitions of $n$ , which was later followed by the work of Craig, Ono, and Singh on the dis…

math.NT2024

Improved asymptotics for moments of reciprocal sums for partitions into distinct parts

Kathrin Bringmann, Byungchan Kim, Eunmi Kim

In this paper we strongly improve asymptotics for $s_{1} (n)$ (respectively $s_{2} (n)$ ) which sums reciprocals (respectively squares of reciprocals) of parts throughout all the partitio…

Inequalities for the number of t-hooks in two partition classes arising from sum-product identities

Modularity of moments of reciprocal sums for partitions into distinct parts

On the distribution of t-hooks of doubled distinct partitions

Improved asymptotics for moments of reciprocal sums for partitions into distinct parts

Inequalities for the number of $t$ -hooks in two partition classes arising from sum-product identities

On the distribution of $t$ -hooks of doubled distinct partitions