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Journal Articles Hardy-Ramanujan Journal Year : 2019

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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Dates and versions

hal-01986071 , version 1 (18-01-2019)

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

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