Hirakjyoti Das

activity

20242026

collaborators

4 papers

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.CO2026

Hook Length Biases in $t$ -Core Partitions

Nayandeep Deka Baruah, Hirakjyoti Das, Pankaj Jyoti Mahanta +1

Recently, the theory of hook length biases has emerged as a prominent research topic. Led by Ballantine, Burson, Craig, Folsom, and Wen [\textit{Res. Math. Sci.}, 2023], hook lengt…

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

Hook Length Biases in t-Core Partitions

Arithmetic Properties of Generalized Cubic and Overcubic Partitions

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

Hook Length Biases in $t$ -Core Partitions

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