Infinite families of infinite families of congruences for k-regular partitions

Congruences for (3,11)-regular bipartitions modulo 11

“…The arithmetic of -regular partition functions has received a great deal of attention (see, for example, [1,2,5,10,[12][13][14][15]20,22,[24][25][26][27]30]). Recently, Xia and Yao [31] established several infinite families of congruences modulo 2 for b 9 (n).…”

Generating functions and congruences for 9-regular and 27-regular partitions in 3 colours

“…The divisibility properties of the -regular partition function b (n) have been quite widely studied for many values of . For example, see [AB16,CW14,DP09,Lin15,Web11]. For more studies on b (n), we refer to Hou et al [HSZ15] and the references cited there.…”

Ramanujan type of congruences modulo m for (l, m)-regular bipartitions

“…In recent years, many authors studied arithmetic properties of ℓ-regular partitions [5,6,7,8,10,11,12,15,20,23,24,21,26].…”