Rong Chen

activity

20192026

most citedCongruences modulo powers of 5 for the rank parity function

1 citations · 1 across the 12 of their papers we have counts for

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3 papers · 1 filter

math.CO2024

A conjecture of Radu and Sellers on congruences modulo powers of 2 for broken 3-diamond partitions

Dandan Chen, Rong Chen, Siyu Yin

In 2007, Andrews and Paule introduced the family of functions $Δ_{k} (n)$ , which enumerate the number of broken $k$ -diamond partitions for a fixed positive integer $k$ . In 2013, Radu…

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 $r$ …

math.NT2024

Congruences modulo powers of $5$ and $7$ for the crank and rank parity functions and related mock theta functions

Dandan Chen, Rong Chen, Frank Garvan

It is well known that Ramanujan conjectured congruences modulo powers of $5$ , $7$ and and $11$ for the partition function. These were subsequently proved by Watson (1938) and Atkin…

A conjecture of Radu and Sellers on congruences modulo powers of 2 for broken 3-diamond partitions

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

Congruences modulo powers of 5 and 7 for the crank and rank parity functions and related mock theta functions

Congruences modulo powers of $5$ and $7$ for the crank and rank parity functions and related mock theta functions