Infinite Families of Congruences for 3-Regular Partitions with Distinct Odd Parts

Abstract

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 $pod_3(n)$.

Keywords

3-Regular partition / Distinct odd parts / Congruence

References

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