Research Publications
Updated on October 04, 2025.
The Mighty Brahmaputra river and the Bogibeel bridge, Dibrugarh, Assam, India. I captured it on July 21, 2025.
Updated on October 04, 2025.
The Mighty Brahmaputra river and the Bogibeel bridge, Dibrugarh, Assam, India. I captured it on July 21, 2025.
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, Ramanujan Journal, https://doi.org/10.1007/s11139-023-00803-4 (with Julia Q D Du and Dazhao Tang).
Congruences between the coefficients of certain mock theta functions, Journal of Mathematical Analysis and Applications, https://doi.org/10.1016/j.jmaa.2024.128913.
Congruences modulo 2 for the eighth-order mock theta function V1(q), Afrika Matematika, https://doi.org/10.1007/s13370-025-01380-z
Missed congruences of overpartitions, Boletín de la Sociedad Matemática Mexicana, https://doi.org/10.1007/s40590-025-00813-w (with Hemjyoti Nath).
Results on some partition functions arising from certain relations involving the Rogers-Ramanujan continued fractions, Unpublished Manuscript, (with Nayandeep Deka Baruah and Nilufar Mana Begum).
Witness identities for three Ramanujan congruences, Unpublished Manuscript, (with Nayandeep Deka Baruah and Abhishek Sarma).
Arithmetic properties modulo powers of 2 and 3 for overpartition k-tuples with odd parts, Communicated, (with Manjil P Saikia and Abhishek Sarma).
Congruences for Andrews-Uncu's partition function EOu(n), Communicated, (with Nayandeep Deka Baruah, Manjil P Saikia, and Abhishek Sarma).
Arithmetic properties of generalized cubic and overcubic partitions, Communicated, (with Saikat Maity and Manjil P Saikia).
Infinite families of congruences for the second order mock theta function B(q), Communicated, (with Hemjyoti Nath).
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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