On m-regular partitions in k-colors

K. N. Vidya ()
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K. N. Vidya: Regional Institute of Education

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 2, 389-397

Abstract: Abstract We consider $$p_{\left\{ m,k\right\} }(n)$$ p m , k ( 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 $$m = 2, 4, 10, 20$$ m = 2 , 4 , 10 , 20 .

Keywords: Partitions; k-colors; k-regular partitions; Congruences; Primary 11P83; Secondary 05A17 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00260-7

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