带色受限$b$元分拆与普通分拆之间的联系
Connections between colored restricted $b$-ary and ordinary partitions
- Dalhousie University（达尔豪斯大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
该研究建立了带色有界普通分拆与带色二元、$b$元分拆间的联系，基于特殊递推关系得到带色$b$元分拆的恒等式及合成分拆相关结果。
AI中文摘要：
我们一方面建立了带色有界普通分拆类与带色但不一定有界的二元分拆、$b$元分拆类之间的多种联系，这些结果多基于特殊递推关系，部分为新结果；还得到了带色$b$元分拆序列的多类恒等式，另有若干与合成分拆相关的结果。
英文摘要：
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.
