Refinements of the classical Rogers-Ramanujan identities are given in which some parts are weighted. Combinatorial interpretations refining MacMahon's results are corollaries.
Bilateral identities of the Rogers-Ramanujan type
Combinatorial proofs and refinements of three partition theorems of Andrews
Sequences of odd length in strict partitions II: the $2$-measure and refinements of Euler's theorem
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