3 papers
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 which sums -th power of reciprocals of parts throughout all of the partitions of int…
math.CO2025
On the distribution of -hooks of doubled distinct partitions
Hyunsoo Cho, Byungchan Kim, Eunmi Kim +1
Recently, Griffin, Ono, and Tsai examined the distribution of the number of -hooks in partitions of , 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 (respectively ) which sums reciprocals (respectively squares of reciprocals) of parts throughout all the partitio…