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Some New Congruences for l-Regular Partitions Modulo 13, 17, and 23

Some New Congruences for l-Regular Partitions Modulo 13, 17, and 23

A partition of n is l-regular if none of its parts is divisible by l. Let b l (n) denote the number of l-regular partitions of n. In this paper, using theta function identities due to Ramanujan, we establish some new infinite families of congruences for b l (n) modulo …