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Infinite Families of Congruences for 3-Regular Partitions with Distinct Odd Parts
Communications in Mathematics and Statistics ( IF 1.1 ) Pub Date : 2019-05-13 , DOI: 10.1007/s40304-019-00182-7 Nipen Saikia
中文翻译:
具有奇异部分的3个正则分区的同余的无限族
更新日期:2019-05-13
Communications in Mathematics and Statistics ( IF 1.1 ) Pub Date : 2019-05-13 , DOI: 10.1007/s40304-019-00182-7 Nipen Saikia
Let \(pod_3(n)\) denote the number of 3-regular partitions with distinct odd parts (and even parts are unrestricted) of a non-negative integer n. In this paper, we present infinite families of Ramanujan-type congruences modulo 2 and 3 for \(pod_3(n)\).
中文翻译:
具有奇异部分的3个正则分区的同余的无限族
令\(pod_3(n)\)表示具有非负整数n的不同奇数部分(甚至偶数部分不受限制)的3规则分区的数量。在本文中,我们给出\(pod_3(n)\)的2和3模的Ramanujan型同余的无限族。