Dandan Chen

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20242026

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math.NT2025

Congruences modulo powers of $7$ for $k$ -elongated plane partitions

Dandan Chen, Tianjian Xu, Siyu Yin

The enumeration $d_{k} (n)$ of $k$ -elongated plane partition diamonds has emerged as a generalization of the classical integer partition function $p (n)$ . Congruences for $d_{k} (n)$ modu…

math.NT2024

Rogers-Ramanujan Type Identities Involving Double Sums

Dandan Chen, Siyu Yin

We prove four new Rogers-Ramanujan-type identities for double series. They follow from the classical Rogers-Ramanujan identities using the constant term method and properties of Ro…

Congruences modulo powers of 7 for k-elongated plane partitions

Rogers-Ramanujan Type Identities Involving Double Sums

Congruences modulo powers of $7$ for $k$ -elongated plane partitions