Mathematics (Oct 2022)
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.
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