PreprintCC BY 4.0arXiv
Connections between colored restricted b-ary and ordinary partitions
Abstract
We establish various connections between classes of colored and bounded ordinary partitions on one hand, and colored but not necessarily bounded binary and b-ary partitions on the other hand. Many of these results are based on special recurrence relations, some of which are new. We also obtain several classes of identities for sequences of colored b-ary partitions, and there are a few results concerning compositions.
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BibTeX
@misc{dilcher2026connections,
title = {{Connections between colored restricted $b$-ary and ordinary partitions}},
author = {Karl Dilcher and Larry Ericksen},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.03248},
eprint = {2609.03248},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.03248},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Connections between colored restricted b-ary and ordinary partitions
AU - Karl Dilcher
AU - Larry Ericksen
PY - 2026
DA - 2026/09/03
PB - arXiv
DO - 10.48550/arxiv.2609.03248
UR - https://arxiv.org/abs/2609.03248
AB - We establish various connections between classes of colored and bounded ordinary partitions on one hand, and colored but not necessarily bounded binary and b-ary partitions on the other hand. Many of these results are based on special recurrence relations, some of which are new. We also obtain several classes of identities for sequences of colored b-ary partitions, and there are a few results concerning compositions.
ER -