## 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

### Keywords:

partitions; Rogers-Ramanujan identities