Abstract
Let $$A_{t,k}(n)$$ denote the number of partition k-tuples of n where each partition is t-core. In this paper, we prove some Ramanujan-type congruences for the partition function $$A_{t,k}(n)$$ when $$(t,k)=(3,4)$$ , (3,9), (4,8), (5, 6), (8, 4), (9, 3) and (9, 6) by employing q-series identities.
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