eng
episciences.org
Hardy-Ramanujan Journal
2804-7370
2019-01-23
10.46298/hrj.2019.5106
5106
journal article
On-Regular Bipartitions Modulo $m$
D D Somashekara
K N Vidya
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 $B_3 (n)$.
https://hrj.episciences.org/5106/pdf
05A17
Congruence
partition
regular partition
regular bipartition
theta functions 2010 Mathematics Subject Classification 11P83
[ MATH ] Mathematics [math]
[ MATH.MATH-NT ] Mathematics [math]/Number Theory [math.NT]