Julia Q. D. Du

activity

20182026

collaborators

4 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…

math.NT2019

Finding Modular Functions for Ramanujan-Type Identities

William Y. C. Chen, Julia Q. D. Du, Jack C. D. Zhao

This paper is concerned with a class of partition functions $a (n)$ introduced by Radu and defined in terms of eta-quotients. By utilizing the transformation laws of Newman, Schoene…

math.CO2018

Congruences for the Coefficients of the Powers of the Euler Product

Julia Q. D. Du, Edward Y. S. Liu, Jack C. D. Zhao

Let $p_{k} (n)$ be given by the $k$ -th power of the Euler Product $\prod_{n = 1}^{\infty} (1 - q^{n})^{k} = \sum_{n = 0}^{\infty} p_{k} (n) q^{n}$ . By investigating the properties of the modular equat…

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

Finding Modular Functions for Ramanujan-Type Identities

Congruences for the Coefficients of the Powers of the Euler Product

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 $n$