5 papers · 1 filter
Some New Congruences Modulo Powers of 2 For -Regular Overpartition
Riyajur Rahman, Nipen Saikia
Let denotes the number of -regular overpartitions of a positive integer such that none of the parts is congruent to modulo . Naika et. al.…
Arithmetic Properties For -Regular Partition Functions With Distinct Parts
Rinchin Drema, Nipen Saikia
For any relatively prime integers and , let denote the number of -regular partitions of a positive integer of into distinct parts. Prasad and Prasad…
General Congruences Modulo 5 and 7 for Colour Partitions
Nipen Saikia, Chayanika Boruah
For any positive integers and , let denotes the number of partitions of where each part has distinct colours. Many authors studied the partition function $p…
Infinite Families of Congruences Modulo 5 for Ramanujan's General Partition Function
Nipen Saikia, Jubaraj Chetry
For any non-negative integer and non-zero integer , let denote Ramanujan's general partition function. By employing -identities, we prove some new Ramanujan-type…
Some Congruences of a Restricted Bipartition Function
Nipen Saikia, Chayanika Boruah
Let denotes the number of bipartitions of a positive integer subject to the restriction that each part of is divisible by . In this paper, we prove som…