2025/04/15 by Masanori Ando, Ando, Masanori
Mathematics · #Advanced Mathematical Identities #Functional Equations Stability Results
paper · pdf · doi:10.48550/arxiv.2504.10791
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.