Arithmetic Properties of Overcubic Partition Pairs

Electronic Journal Of Combinatorics

Bernard L.S. Lin¹ 

关键词: Overcubic partition pairs;    Theta function;    Congruence;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

Let $\overline{b}(n)$ denote the number of overcubic partition pairs of $n$. In this paper, we establish two Ramanujan type congruences and several infinite families of congruences modulo $3$ satisfied by $\overline{b}(n)$ . For modulus $5$, we obtain one

【 授权许可】

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