Publications

Mahapatra, Nimish Kumar, and Pandey, Prem Prakash. "Non-Pólya fields with large Pólya groups arising from Lehmer quintics." Bulletin of the Australian Mathematical Society, 2024, vol. 110, no. 3, pp. 468-479. DOI: 10.1017/S0004972724000108

Mahapatra, Nimish Kumar. "Class numbers of certain families of totally real biquadratic fields and a result of Mollin." Research in Number Theory, vol. 9, no. 4, 2023, Paper No. 67. DOI: 10.1007/s40993-023-00475-5

Mahapatra, Nimish Kumar, Pandey, Prem Prakash, and Ram, Mahesh Kumar. "Primes of higher degree and annihilators of class groups." Ramanujan Journal, vol. 63, no. 2, 2024, pp. 483-496. DOI: 10.1007/s11139-023-00770-w

Mahapatra, Nimish Kumar, Pandey, Prem Prakash, and Ram, Mahesh Kumar. "Fields of small class number in the family $\mathbb{Q}(\sqrt{9m^2+4m})$." Ramanujan Journal, vol. 61, no. 3, 2023, pp. 779-798. DOI: 10.1007/s11139-022-00695-w

Mahapatra, Nimish Kumar. "Class number one problem for a non-Richaud-Degert type family of real quadratic fields." Sarajevo Journal of Mathematics, 19(1), 2023, pp. 105-108. DOI: 10.5644/ SJM.19.01.09

Ram, Mahesh Kumar, Pandey, Prem Prakash, and Mahapatra, Nimish Kumar. "Absolutely abelian Hilbert class fields and $\ell-$ torsion conjecture." 2025. Available at arXiv:2510.10725.

Mahapatra, Nimish Kumar."Discriminants and Large Pólya Groups in Septic Number Fields." 2025. Available at arXiv:2511.07954.

Mahapatra, Nimish Kumar, and Pandey, Prem Prakash. "Rank of Pólya Groups in Lecacheux Parametric Family of Quintic Fields." 2026. Available at arXiv:2607.00675.