Ramanujan-type congruences modulo m for (l, m)-regular bipartitions

T. Kathiravan ()
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T. Kathiravan: The Institute of Mathematical Sciences, HBNI

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 2, 375-391

Abstract: Abstract Let $$B_{l,m}(n)$$ B l , m ( n ) denote the number of (l, m)-regular bipartitions of n. Recently, many authors proved several infinite families of congruences modulo 3, 5 and 11 for $$B_{l,m}(n)$$ B l , m ( n ) . In this paper, we use theta function identities to prove infinite families of congruences modulo m for (l, m)-regular bipartitions, where $$m\in \{7,3,11,13,17\}$$ m ∈ { 7 , 3 , 11 , 13 , 17 } .

Keywords: Congruence; Regular Bipartition.; 11P83; 05A17 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00015-w

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