Research

Research Interests: My research interests are centered on Number Theory, with a particular focus on the Theory of Integer Partitions. I investigate various aspects of Combinatorics and Modular Forms in the study of partition functions. I examine the arithmetic properties of partition functions, including their distribution modulo certain prime powers and their asymptotic behavior. I also engage in the discovery of partition identities and partition inequalities. Furthermore, I have a keen interest in the study of mock theta functions.

Hook length biases in t-regular partitions-II (under review), (with R. Barman and P. J. Mahanta).
Hook length inequalities for t-regular partitions in the t-aspect, Canad. Math. Bull. 1-12 (2025), doi:10.4153/S0008439525100921, (with R. Barman).
A note on Lin's conjecture on PDO_t(n), The Ramanujan Journal 67:79 (2025), (with R. Barman).
Hook length biases in ordinary and t-regular partitions, Journal of Number Theory 264 (2024), 41-58, (with R. Barman).
Arithmetic properties and asymptotic formulae for $\sigma_omex(n)$ and $\sigma_emex(n)$, The Ramanujan Journal 65 (2024), 125-137, (with R. Barman).
Arithmetic properties of certain t-regular partitions, Annals of Combinatorics 28 (2024), 439-457, (with R. Barman and A. Singh).
Divisibility of the partition function PDO_t(n) by powers of 2 and 3, Bull. Aust. Math. Soc. 109 (1) (2024), 14-25, (with R. Barman and A. Singh).
Certain Diophantine equations and new parity results for 21-regular partitions, Acta Arithmetica 210 (2023), 337-351, (with R. Barman and A. Singh).

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