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On a new combinatorial interpretation for a theorem of Euler. (English) Zbl 0976.05006

Summary: We describe a new set of partitions that is equinumerous with the set of partitions into odd parts. A new combinatorial interpretation for the Rogers-Ramanujan identities is given as an application.

MSC:

05A17 Combinatorial aspects of partitions of integers
05A19 Combinatorial identities, bijective combinatorics
11B65 Binomial coefficients; factorials; \(q\)-identities
11P81 Elementary theory of partitions
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