## On partitions with difference conditions.(English)Zbl 1043.11071

Summary: We present two general theorems having interesting special cases. From one of them we give a new proof for theorems of Gordon using a bijection, and from another we have a new combinatorial interpretation associated with a theorem of Göllnitz.

### MSC:

 11P83 Partitions; congruences and congruential restrictions 05A19 Combinatorial identities, bijective combinatorics 05A30 $$q$$-calculus and related topics

### Keywords:

Partitions; combinatorial identities; $$q$$-series
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