4 papers · 1 filter
Congruences modulo powers of for generalized Frobenius partitions
Dandan Chen, Siyu Yin
In 1984, Andrews introduced the family of partition functions \(cϕ_k(n)\), which counts the number of generalized Frobenius partitions of \(n\) with \(k\) colors. In previous work,…
Congruences modulo powers of for -colored generalized Frobenius partitions
Dandan Chen, Siyu Yin
In , Andrews introduced the family of partition functions , which enumerate generalized Frobenius partitions of with colors. In , Gu, Wang, and Xia est…
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 , which enumerate the number of broken -diamond partitions for a fixed positive integer . In 2013, Radu…
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 , which denote the total number of ones in the partition of with crank congruent to …