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            <title xml:lang="en">On-Regular Bipartitions Modulo $m$</title>
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                <surname>Somashekara</surname>
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                <forename>Srinivas</forename>
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            <idno type="halRefHtml">&lt;i&gt;Hardy-Ramanujan Journal&lt;/i&gt;, 2019, Atelier Digit_Hum, pp.50 - 57. &lt;a target="_blank" href="https://dx.doi.org/10.46298/hrj.2019.5106"&gt;&amp;#x27E8;10.46298/hrj.2019.5106&amp;#x27E9;&lt;/a&gt;</idno>
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                <title xml:lang="en">On-Regular Bipartitions Modulo $m$</title>
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                    <forename type="first">D D</forename>
                    <surname>Somashekara</surname>
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                    <forename type="first">K N</forename>
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                <title level="j">Hardy-Ramanujan Journal</title>
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                <term xml:lang="en">05A17</term>
                <term xml:lang="en">theta functions 2010 Mathematics Subject Classification 11P83</term>
                <term xml:lang="en">regular bipartition</term>
                <term xml:lang="en">regular partition</term>
                <term xml:lang="en">partition</term>
                <term xml:lang="en">Congruence</term>
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              <p>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 $B_3 (n)$.</p>
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