New partition function recurrences

2020/07/15 by da Silva, Robson, Pedro Diniz Sakai, Sakai, Pedro Diniz
Mathematics · #05A17 #11P81 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2007.07641

openalex publication_date 2020/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present Euler-type recurrence relations for some partition functions. Some of our results provide new recurrences for the number of unrestricted partitions of n, denote by p(n). Others establish recurrences for partition functions not yet considered.

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