Abstract
We consider \(p_{\left\{ m,k\right\} }(n)\), the number of m-regular partitions in k-colors. We find many infinite family of congruences modulo 2, 3, 5 for some m-regular partitions in 3 colors, especially, for \(m = 2, 4, 10, 20\).
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Communicated by B. Sury.
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Vidya, K.N. On m-regular partitions in k-colors. Indian J Pure Appl Math 54, 389–397 (2023). https://doi.org/10.1007/s13226-022-00260-7
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DOI: https://doi.org/10.1007/s13226-022-00260-7