Publications
Perfection is a road that is always under construction!
Perfection is a road that is always under construction!
Research articles
My research interest is in Number Theory. I am specifically interested in partition theory, hypergeometric series, q-series, modular forms, etc. My list of publications is given below:
Preprints
Congruences for Andrews-Uncu's partition function EOu(n) (with Nayandeep Deka Baruah, Hirakjyoti Das and Manjil P. Saikia), 2024.
Arithmetic properties modulo powers of 2 and 3 for Overpartition k-tuples with odd parts (with Hirakjyoti Das and Manjil P. Saikia), 2024.
Biases in non-unitary partitions (with Pankaj Jyoti Mahanta and Manjil P. Saikia), 2022.
Peer Reviewed Papers
Further arithmetic properties of Andrews' integer partitions with even parts below odd parts, Quaestiones Mathematicae, accepted, 2025.
Congruences and density results for partitions into distinct even parts (with Hemjyoti Nath), Acta Mathematica Hungarica, accepted, 2025.
Ramanujan-type congruences for partition k-tuples with 5-cores (with Manjil P. Saikia and Pranjal Talukdar), Indian Journal of Pure and Applied Mathematics, accepted, 2024.
Further arithmetic properties of overcubic partition triples (with Manjil P. Saikia), Bulletin of the Australian Mathematical Society, 112(2):260-273, 2025.
Arithmetic Properties of k-tuple l-regular partitions (with Hemjyoti Nath and Manjil P. Saikia), Journal of Mathematical Analysis and Applications, 551(2):Article Number 129688, 25 pp., 2025.
Arithmetic properties modulo powers of 2 for overpartition k-tuples with odd parts (with Manjil P. Saikia and James A. Sellers), Journal of the Ramanujan Mathematical Society, 40(2):107-123, 2025.
Sign patterns and congruences of certain infinite products involving the Rogers-Ramanujan continued fraction (with Nayandeep Deka Baruah), The Ramanujan Journal, 67(1):Article Number 7, 25 pp., 2025.
Arithmetic properties of 5-regular partitions into distinct parts (with Nayandeep Deka Baruah), International Journal of Number Theory, 21(3):657-674, 2025.
Differences of even and odd numbers of parts of the cubic and some analogous partition functions (With Nayandeep Deka Baruah), Boletín de la Sociedad Matemática Mexicana, 29:Article Number 94, 24 pp., 2023.
Unpublished Manuscripts