Research
Perfection is a road that is always under construction!
My research interests are in Number Theory and Combinatorics. My list of publications is given below:
Preprints
Arithmetic properties modulo powers of 2 for overpartition k-tuples with odd parts (with Manjil P. Saikia and James A. Sellers), preprint, 2023.
Witness identities for three Ramanujan congruences (with Nayandeep Deka Baruah and Hirakjyoti Das), https://arxiv.org/abs/2207.10697, 2022.
Biases in non-unitary partitions (with Pankaj Jyoti Mahanta and Manjil P. Saikia), preprint, 2022.
Peer Reviewed Papers
Ramanujan-type congruences for partitions k-tuples with 5-cores (with Manjil P. Saikia and Pranjal Talukdar), Indian Journal of Pure and Applied Mathematics, 2024. DOI: https://doi.org/10.1007/s13226-024-00566-8
Differences of even and odd numbers of parts of the cubic and some analogous partition functions (With Nayandeep Deka Baruah), Boletin de la Sociedad Matematica Mexicana., Vol. 29, #A94, 24 pp., 2023. DOI: https://doi.org/10.1007/s40590-023-00568-2
Expository Articles
Parity Bias in Integer Partitions, Ganit Bikash, Assam Academy of Mathematics, October, 2021.
Diophantine Approximation and its Importance, Ganit Bikash, Assam Academy of Mathematics, April, 2021.