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arXiv:2108.04363 [math.CO]AbstractReferencesReviewsResources

Reciprocity between partitions and compositions

George Beck, Shane Chern

Published 2021-08-09Version 1

In this paper, we extend the work of Andrews, Beck and Hopkins by considering partitions and compositions with bounded gaps between each pair of consecutive parts. We show that both their generating functions and two matrices determined by them satisfy certain reciprocal relations.

Categories: math.CO, math.NT
Subjects: 05A17, 11P84
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