Julia Q. D. Du

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20182026

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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…

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