Research
Publications:
Certain Eta-quotients and arithmetic density of Andrews singular overpartitions, J. Number Theory 229 (2021), 487-498 (with R. Barman).
Divisibility of certain singular overpartitions by powers of 2 and 3, Bull. Aust. Math. Soc. 104 (2021), Article no. 2, 238-248 (with R. Barman).
On mex-related partition functions of Andrews and Newman, Res. Number Theory 7 (2021), Article no. 53, 29 pages (with R. Barman).
New density results and congruences for Andrews singular overpartitions, J. Number Theory 229 (2021), 328-341 (with R. Barman).
Mex-related partition functions of Andrews and Newman, Journal of Integer Sequences, Vol. 24 (2021), Article 21.6.3 (with R. Barman).
Proof of some conjectural congruences of da Silva and Sellers, Bull. Aust. Math. Soc. 106 (2022), Article no. 1, 57-61 (with R. Barman).
Divisibility of certain \ell-regular partitions by 2, Ramanujan J. 59 (2022) , 813-829 (with R. Barman).
Proofs of some conjectures of Keith and Zanello on t-regular partition, Pacific Journal of Mathematics 320 (2022), no. 2, 425--436 (with R. Barman).
Divisibility of the number of tagged parts over the partitions with designated summands by powers of 2 and 3, Bull. Aust. Math. Soc. 109 (2024), no. 1, pp. 14--25 (with R. Barman and G. Singh).
Arithmetic properties of certain t-regular partitions (with R. Barman and G. Singh) (Accepted in Annals of Combinatorics).
New congruences and density results for t-regular partitions with distinct even parts. (Accepted in Rocky Mountain Journal).
Certain Diophantine equations and new parity results for 21-regular partitions, Acta Arithmetica 210 (2023), pp. 337-351 (with R. Barman and G. Singh).
Parity distribution and divisibility of Mex-related partition functions, Research in Number Theory 10 (2024), pp. 1-10. (with R. Barman, Subhrajyoti, and Apu Kumar Saha) .
Hook lengths in self-conjugate partitions (with G. E. Andrews, K. Ono and T. Amdeberhan) (Accepted in Proceedings of American Mathematical Society).
Preprints/ In Preparation:
Macmohan's Sums-of-divisors and allied q-series (with K. Ono and T. Amdeberhan) (Under review).
Remarks on MacMahon's q-seires (with K. Ono) (Under review).