On some congruences for (j,k)-regular overpartitions

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Megadahalli Sidda Naika Mahadeva Naika
Harishkumar Thippeswamy
Terakanambi Nagarajanayaka Veeranayaka

Abstract

Let pj,k(n) denote the number of (j, k)-regular overpartitions of n in which none of the parts congruent to j (mod k). In this paper, we obtained infinitely many families of congruences modulo powers of 2 for p3,6(n), p5, 10(n) and p9, 18(n). For example, for all n ≥ 0 and α, β ≥ 0,
p9, 18(34α+1 ∙ 52β+1(24 (5n+i)+23)) ≡ 0 (mod 64) where i=0, 1, 2, 4.

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How to Cite
Mahadeva Naika, M. S. N., Thippeswamy, H., & Veeranayaka, T. N. (2021). On some congruences for (j,k)-regular overpartitions. Gulf Journal of Mathematics, 10(1), 43-68. Retrieved from https://gjom.org/index.php/gjom/article/view/561
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