Ramanujan-type congruences for 2-color partition triples

2017/06/18 by Shane Chern, Chun Wang, Chern, Shane +1
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #Primary 11P83 #Secondary 05A17

paper · pdf · doi:10.48550/arxiv.1706.05667

openalex publication_date 2017/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let p_3,3(n) denote the number of 2-color partition triples of n where one of the colors appears only in parts that are multiples of 3. In this paper, we shall establish some interesting Ramanujan-type congruences for p_3,3(n).

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