Julia Q. D. Du

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20182026

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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.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 for the Coefficients of the Powers of the Euler Product

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