Hardy-Ramanujan Journal |

- 1 department of studies in mathematics, University of Mysore

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 $B_3 (n)$.

Source: HAL:hal-01986071v1

Published on: January 23, 2019

Imported on: January 23, 2019

Keywords: 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]

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