Research
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 integer 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.
TBA (with Hirakjyoti Das), 2026.
TBA (with Manjil P. Saikia), 2026.
Peer Reviewed Papers
Ramanujan-type congruences for partition k-tuples with 5-cores (with Manjil P. Saikia and Pranjal Talukdar), Indian Journal of Pure and Applied Mathematics, 57:344-354, 2026.
Further arithmetic properties of Andrews' integer partitions with even parts below odd parts, Quaestiones Mathematicae, 49(2):139-157, 2026.
Biases in non-unitary partitions (with Pankaj Jyoti Mahanta and Manjil P. Saikia), Boletín de la Sociedad Matemática Mexicana, 32:Article Number 23, 14 pp., 2026.
Congruences and density results for partitions into distinct even parts (with Hemjyoti Nath), Acta Mathematica Hungarica, 177:140-162, 2025.
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.
Non Peer Reviewed Papers