Hirakjyoti Das

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20242026

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math.NT2026

Proof of a Conjecture of Cui, Gu and Tang on 18-Colored Generalized Frobenius Partitions

Hirakjyoti Das, Hemjyoti Nath, Abhishek Sarma

Recently, the study of the number of $k$ -colored generalized Frobenius partitions, denoted by $c ϕ_{k} (n)$ , has witnessed renewed interest. In this paper, we investigate congruence pr…

math.NT2025

Arithmetic Properties of Generalized Cubic and Overcubic Partitions

Hirakjyoti Das, Saikat Maity, Manjil P. Saikia

We prove several congruences satisfied by the generalized cubic and generalized overcubic partition functions, recently introduced by Amdeberhan, Sellers, and Singh. We also prove…

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…

Proof of a Conjecture of Cui, Gu and Tang on 18-Colored Generalized Frobenius Partitions

Arithmetic Properties of Generalized Cubic and Overcubic Partitions

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

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