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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…
Ramanujan-type Congruences for Partition -Tuples with -Cores
Manjil P. Saikia, Abhishek Sarma, Pranjal Talukdar
We prove several Ramanujan-type congruences modulo powers of for partition -tuples with -cores, for . We also prove some new infinite families of congruences m…
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…