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arXiv · 2504.10791

Proposal of a generating function of partition sequences

Masanori Ando
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Abstract

In this paper, we introduce the generating functions of partition sequences. Partition sequences have a one-to-one correspondence with partitions. Therefore, the generating function has no multiplicity and appears meaningless initially. However, we show that using a matrix can give meaning to the coefficients and preserve valuable information about partitions. We also introduce some restrictions on partitions suitable for these generating functions.

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Masanori Ando. 2025-04-15. Proposal of a generating function of partition sequences. https://arxiv.org/abs/2504.10791

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