Journal of the Ramanujan Mathematical Society
Volume 39, Issue 3, September 2024 pp. 225–237.
Some congruences for (ℓ,k)-regular partitions
Authors:
T. Kathiravan, K. Srinivas and Usha K. Sangale
Author institution:Department of Mathematics, IIT Madras, Chennai, Tamilnadu, 600 036, India.
Summary:
Let b{ℓ,k}(n) denote the number of (ℓ,k)-regular partition.
In this paper we shall derive infinite families of
congruences for b{ℓ,k}(n) modulo 2 when (ℓ,k) = (3,8), (4,7),
for b{ℓ,k}(n) modulo 8, modulo 9 and modulo 12 when
(ℓ,k) = (4,9).
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