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arXiv · 1812.07550

On the ordinary and signed Göllnitz--Gordon partitions

Andrew V. Sills
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Abstract

Dedicated to George E. Andrews on the occasion of his 70th birthday. Submitted to a special issue for this occasion. We use Andrews' notion of a `signed partition' (i.e. partition where some parts are allowed to be negative) to interpret the Göllnitz--Gordon sum, and then provide a bijective map between these signed partitions and the usual Göllnitz--Gordon partitions (partitions with difference at least two between parts, and no consecutive even parts).

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Andrew V. Sills. 2018-12-18. On the ordinary and signed Göllnitz--Gordon partitions. https://arxiv.org/abs/1812.07550

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