Abhishek Sarma

collaborators

3 papers

math.NT2024

Arithmetic properties of $k$ -tuple $ℓ$ -regular partitions

Hemjyoti Nath, Manjil P. Saikia, Abhishek Sarma

In this paper, we study arithmetic properties satisfied by the $k$ -tuple $ℓ$ -regular partitions. A $k$ -tuple of partitions $(ξ_{1}, ξ_{2}, \dots, ξ_{k})$ is said to be $ℓ$ -regular…

math.NT2024

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…

math.NT2024

Arithmetic Properties modulo powers of $2$ and $3$ for Overpartition $k$ -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 $2$ for overpartition triples with odd parts. In this p…

Arithmetic properties of k-tuple ℓ-regular partitions

Further Arithmetic Properties of Overcubic Partition Triples

Arithmetic Properties modulo powers of 2 and 3 for Overpartition k-Tuples with Odd Parts

Arithmetic properties of $k$ -tuple $ℓ$ -regular partitions

Arithmetic Properties modulo powers of $2$ and $3$ for Overpartition $k$ -Tuples with Odd Parts