Research Publications
Updated on April 15, 2024.
The papers are enlisted according to the order of acceptance in the referred journal.
Generating functions and congruences for 9-regular and 27-regular partitions in 3 colours, Hardy-Ramanujan Journal 44:101--115, 2021, https://doi.org/10.46298/hrj.2022.8927 (with Nayandeep Deka Baruah).
Relations among representations of integers by certain quadratic forms, Indian Journal of Pure and Applied Mathematics, https://doi.org/10.1007/s13226-021-00158-w (with Nayandeep Deka Baruah).
Families of congruences for fractional partition functions modulo powers of primes, Research in Number Theory, https://doi.org/10.1007/s40993-021-00287-5 (with Nayandeep Deka Baruah).
Matching coefficients in the series expansions of certain q-products and their reciprocals, Ramanujan Journal, https://doi.org/10.1007/s11139-021-00534-4 (with Nayandeep Deka Baruah).
On 3^k-regular cubic partitions, Journal of the Korean Mathematical Society, https://doi.org/10.4134/JKMS.j210517 (with Nayandeep Deka Baruah).
Infinite families of congruences modulo powers of 2 for some partition functions involving only odd parts, International Journal of Number Theory, https://doi.org/10.1142/S1793042122500944 (with Nayandeep Deka Baruah).
Congruences for the coefficients of a pair of third and sixth order mock theta functions, Ramanujan Journal, https://doi.org/10.1007/s11139-022-00635-8 (with Nayandeep Deka Baruah).
Congruences for k-elongated plane partition diamonds, International Journal of Number Theory, https://doi.org/10.1142/S1793042123501038 (with Nayandeep Deka Baruah and Pranjal Talukdar).
Congruences modulo powers of 2 for restricted partition triples due to Lin and Wang, To appear in Ramanujan Journal, https://doi.org/10.1007/s11139-023-00803-4 (with Julia Q D Du and Dazhao Tang).
Witness identities for three Ramanujan congruences, Communicated, (with Nayandeep Deka Baruah and Abhishek Sarma).
On another analogue of t-core partitions, Communicated, (with Gourab Kalita).
Arithmetic properties for overpartition k-tuples with odd parts, In preparation, (with Manjil P Saikia and Abhishek Sarma).
My PhD thesis title: Contributions to matching coefficients in q-products, congruences for fractional and restricted partition functions, and representations of integers by quadratic forms.
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