4 papers · 2 filters
Congruences Modulo Powers of 7 for the Reciprocal Crank Parity Function
Dandan Chen
Amdeberhan and Merca recently studied arithmetic properties of the sequence , the reciprocal of the crank parity function, which counts the number of integer partitions of we…
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,…
On Bilateral Multiple Sums and Rogers-Ramanujan Type Identities
Dandan Chen, Tianjian Xu
We establish some new bilateral double-sum Rogers-Ramanujan identities involving parameters. As applications, these identities yield several new multi-sum Rogers-Ramanujan type ide…
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…