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.NT2025
Modularity of counting functions of convex planar polygons with rationality conditions
Kathrin Bringmann, Jonas Kaszian, Jie Zhou
We study counting functions of planar polygons arising from homological mirror symmetry of elliptic curves. We first analyze the signature and rationality of the quadratic forms co…
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…