5 papers
Arithmetic Properties modulo powers of and for Overpartition -Tuples with Odd Parts
Hirakjyoti Das, Manjil P. Saikia, Abhishek Sarma
Recently, Drema and N. Saikia (2023) and M. P. Saikia, Sarma, and Sellers (2023) proved several congruences modulo powers of for overpartition triples with odd parts. In this p…
Biases in Non-Unitary Partitions
Pankaj Jyoti Mahanta, Manjil P. Saikia, Abhishek Sarma
Recently, the concept of parity bias in integer partitions has been studied by several authors. We continue this study here, but for non-unitary partitions (namely, partitions with…
Arithmetic properties of -tuple -regular partitions
Hemjyoti Nath, Manjil P. Saikia, Abhishek Sarma
In this paper, we study arithmetic properties satisfied by the -tuple -regular partitions. A -tuple of partitions is said to be -regu…
Further Arithmetic Properties of Overcubic Partition Triples
Manjil P. Saikia, Abhishek Sarma
In this short note, we prove several new congruences for the overcubic partition triples function, using both elementary techniques and the theory of modular forms. These extend th…
Arithmetic properties modulo powers of for overpartition -tuples with odd parts
Manjil P. Saikia, Abhishek Sarma, James A. Sellers
Recently, Drema and Saikia (2023) proved several congruences modulo powers of 2 and 3 for overpartition triples with odd parts. We extend their list substantially. We prove several…