N. Saikia

collaborators

3 papers

math.NT2020

General Congruences Modulo 5 and 7 for Colour Partitions

Nipen Saikia, Chayanika Boruah

For any positive integers $n$ and $r$ , let $p_{r} (n)$ denotes the number of partitions of $n$ where each part has $r$ distinct colours. Many authors studied the partition function $p…

math.NT2020

Infinite Families of Congruences Modulo 5 for Ramanujan's General Partition Function

Nipen Saikia, Jubaraj Chetry

For any non-negative integer $n$ and non-zero integer $r$ , let $p_{r} (n)$ denote Ramanujan's general partition function. By employing $q$ -identities, we prove some new Ramanujan-type…

math.NT2016

Some Congruences of a Restricted Bipartition Function

Nipen Saikia, Chayanika Boruah

Let $c_{N} (n)$ denotes the number of bipartitions $(λ, μ)$ of a positive integer $n$ subject to the restriction that each part of $μ$ is divisible by $N$ . In this paper, we prove som…