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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
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