Julia Q. D. Du

collaborators

2 papers

math.CO2026

Modular Nahm sums for symmetrizable matrices of indices $(2, \dots, 2, 1)$ and $(1, \dots, 1, 2)$

Julia Q. D. Du, Kathy Q. Ji, Erin Y. Y. Shen +1

In this paper, we present three families of modular Nahm sums for symmetrizable matrices with arbitrary rank $r \geq 2$ of indices $(2, \dots, 2, 1)$ and $(1, \dots, 1, 2)$ . Speci…

math.NT2025

Congruences modulo arbitrary powers of $5$ and $7$ for Andrews and Paule's partition diamonds with $(n + 1)$ copies of $n$

Julia Q. D. Du, Olivia X. M. Yao

Recently, Andrews and Paule introduced a partition function $P D N 1 (N)$ which denotes the number of partition diamonds with $(n + 1)$ copies of $n$ where summing the parts at the links…

Modular Nahm sums for symmetrizable matrices of indices (2,…,2,1) and (1,…,1,2)

Congruences modulo arbitrary powers of 5 and 7 for Andrews and Paule's partition diamonds with (n+1) copies of n

Modular Nahm sums for symmetrizable matrices of indices $(2, \dots, 2, 1)$ and $(1, \dots, 1, 2)$

Congruences modulo arbitrary powers of $5$ and $7$ for Andrews and Paule's partition diamonds with $(n + 1)$ copies of $n$