N. Saikia

activity

20162026

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Showing 2020Show all

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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…