Some Congruences for the Coefficients of Rogers–Ramanujan Type Identities

Abstract

We examine a few mathematical characteristics of Rogers–Ramanujan type identities as a follow-up work. Recently authors interpreted Rogers–Ramanujan type identities combinatorially using signed color partitions. In the present study, we discovered several congruences for the coefficients of powers of q that are in arithmetic progressions modulo powers of 2 and 3.

Keywords

• combinatorics
• combinatorial congruences
• Rogers–Ramanujan type identities