Dandan Chen

collaborators

3 papers

math.CO2025

Congruences Modulo Powers of 7 for the Reciprocal Crank Parity Function

Dandan Chen

Amdeberhan and Merca recently studied arithmetic properties of the sequence $a (n)$ , the reciprocal of the crank parity function, which counts the number of integer partitions of we…

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.CO2024

On the total number of ones associated with cranks of partitions modulo 11

Dandan Chen, Rong Chen, Siyu Yin

In 2021, Andrews mentioned that George Beck introduced partition statistics $M_{w} (r, m, n)$ , which denote the total number of ones in the partition of $n$ with crank congruent to $r$ …

Congruences Modulo Powers of 7 for the Reciprocal Crank Parity Function

Congruences modulo powers of 7 for k-elongated plane partitions

On the total number of ones associated with cranks of partitions modulo 11

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