Infinite families of congruences for (j, k)-regular overpartitions
Résumé
denotes the number of (j, k)-regular overpartitions of a positive integer n such that none of the parts is congruent to j modulo k. Naika et al.( 2021) proved infinite families of congruences modulo powers of 2 for p3,6 (n), p5,10 (n) and p9,18 (n). Saikia et al.( 2023) also obtained infinite families of congruences modulo 4, 8, 16, 32 and 64 for p4,8 (n), modulo 4 and 8 for p6,12 (n), and modulo 16 for p8,16 (n). In this paper, we obtain infinite families of congruences modulo 2, 4, 8, 9 for p3,3 (n), p4,4 (n), p5,5 (n) and p7,7 (n).
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