Abstract

Let  denote the number of overpartitions of an integer 𝑛≥0 such that no parts of 𝑛 is a multiple of 𝑙 and 𝜇, with 𝑙 and 𝜇 being coprime. In this paper, we have established a number of infinite families of congruences and many Ramanujan-type congruences modulo powers of 2 for .

Keywords

Overpartition, Congruences, Dissection, Regular Partition, Biregular Partition.

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