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On-Regular Bipartitions Modulo $m$

Abstract : Let $b_l (n)$ denote the number of $l$-regular partitions of $n$ and $B_l (n)$ denote the number of $l$-regular bipartitions of $n$. In this paper, we establish several infinite families of congruences satisfied by $B_l (n)$ for $l \in {2, 4, 7}$. We also establish a relation between $b_9 (2n)$ and $B_3 (n)$.
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Submitted on : Friday, January 18, 2019 - 2:51:32 PM
Last modification on : Monday, March 28, 2022 - 8:14:08 AM

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D D Somashekara, K N Vidya. On-Regular Bipartitions Modulo $m$. Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2019, Atelier Digit_Hum, pp.50 - 57. ⟨10.46298/hrj.2019.5106⟩. ⟨hal-01986071⟩

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