On the exponential Diophantine equation $cx^2+p_1^{2m_1}p_2^{2m_2}\cdots p_r^{2m_r}=4y^q$ (with Kotyada Srinivas and Usha K. Sangale), Journal of Ramanujan Mathematical Society, (to appear).

On the simultaneous 3-divisibility of class numbers of quadruples of real quadratic fields (with Kalyan Banerjee and Ankurjyoti Chutia), Hardy-Ramanujan Journal, (to appear) arXiv: 2512.11346 

A note on rank zero quadratic twists of a Mordell curve (with Ankurjyoti Chutia and Jyotishman Kalita), Czechoslovak Mathematical Journal, (to appear). arXiv: 1904.02073

On the complete solutions of a generalized Lebesgue-Ramanujan-Nagell equation (with Kalyan Chakraborty), Quaestiones Mathematicae (to appear). arXiv: 2105.02832

Elliptic surfaces to class groups and Selmer groups (Kalyan Banerjee and Kalyan Chakraborty), Research in Number Theory 11 (2025), 10pp. Article #85. arXiv: 2509.00551

On the plus parts of the class numbers of cyclotomic fields (with Kalyan Chakraborty), Chinese Annals of Mathematics, Series B, 46 (2025), no. 2, 1--10. arXiv: 2310.07501

Chow groups, pull back and class groups (with Kalyan Banerjee), Monatshefte für Mathematik, 205 (2024), no. 3, 433--454. arXiv: 1903.04210

On a class of Lebesgue-Ramanujan-Nagell equations, Periodica Mathematica Hungarica, 88 (2024), no. 2, 418--428. arXiv: 2005.05214

Diophantine $D(n)$-quadruples in $\mathbb{Z}[\sqrt{4k+2}]$ (with Kalyan Chakraborty and Shubham Gupta), Glasnik Matematicki 59 (2024), no. 2, 259-276. arXiv: 2302.04145

Parameterized Families of Quadratic Fields with n-Rank at Least 2 (with Katyada Srinivas), Class Groups of Number Fields and Related Topics, 125–131, Springer Proc. Math. Stat., 470, Springer, Singapore, 2024. arXiv: 2412.20080

A remark on a Diophantine equation of S. S. Pillai, Czechoslovak Mathematical Journal,  74 (2024), no. 3, 897--903.  

On the exponential Diophantine equation $x^2+p^mq^n=2y^p$ (with Kalyan Chakraborty), New Zealand Journal of Mathematics 55 (2024), 53--60. arXiv:2308.12708

Complete solutions of a Lebesgue-Ramanujan-Nagell type equation (with Priyanka Baruah and Anup Das), Archivum Mathematicum, 60 (2024), 135--145. arXiv:2104.12680 

Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields (with Kalyan Chakraborty), The Ramanujan Journal, 60 (2023), no. 4, 913--923. arXiv:2210.00561

Diophantine triples with the property $D(n)$ for distinct $n$'s (with Kalyan Chakraborty and Shubham Gupta), Mediterranean Journal of Mathematics, 20 (2023), no. 1, 13pp, article no. 31. arXiv: 2204.14208

On a conjecture of Franu\vsi\'c and Jadrijevi\'c: Counter-examples (with Kalyan Chakraborty and Shubham Gupta), Results in Mathematics, 78 (2023), no. 1, 14pp, article no. 18. arXiv: 2211.05010

On a conjecture of Iizuka, Journal of Number Theory, 238 (2022), 464--473. arXiv: 2106.00395

On the Diophantine equation $dx^2+p^{2a}q^{2b}=4y^p$ (with Kalyan Chakraborty), Results in Mathematics, 77 (2022), no. 1, 11pp, article no. 18. arXiv: 2106.01964

Generalized Mersenne numbers of the form $cx^2$, Annales Mathematicae et Informaticae, 55 (2022), 88--92. arXiv: 2205.06235

On the exponents of class groups of some families of imaginary quadratic fields, Mediterranean Journal of Mathematics, 18 (2021), no. 4, 13pp. article no. 153. arXiv: 2005.12512

On the Diophantine equation $cx^2+p^{2m}=4y^n$ (with Kalyan Chakraborty, Kotyada Srinivas), Results in Mathematics, 76 (2021), no. 2, 12pp, article no. 57. arXiv: 2102.07977

An analogue of Wilton's formula and values of Dedekind zeta functions (with Soumyarup Banerjee, Kalyan Chakraborty), Journal of Mathematical Analysis and Applications, 495 (2021), no. 1, 20pp, 124675. arXiv:1611.08693 

On the solutions of certain Lebesgue-Ramanujan-Nagell equations (with Kalyan Chakraborty, Richa Sharma), Rocky Mountain Journal of Mathematics, 51 (2021), no. 2, 459--471. arXiv: 2011.01099

Class number one problem for the real quadratic fields $\mathbb{Q}(\sqrt{n^2+2r})$ (with Srinivas Kotyada), Archiv der Mathematik, 116 (2021), no. 1, 33--36. arXiv: 2008.03505

On the structure of order 4 class groups of $\mathbb{Q}(\sqrt{n^2+1})$ (with Kalyan Chakraborty, Mohit Mishra), Annales Math\'ematiques du Qu\'ebec, 45 (2021), no. 1, 203--212. arxiv:1902.05250

Exponents of class groups of certain imaginary quadratic fields (with Kalyan Chakraborty), Czechoslovak Mathematical Journal, 70 (2020), no. 4, 1167--1178.  arXiv:1801.00392

Complete solutions of certain Lebesgue-Ramanujan-Nagell type equations (with Kalyan Chakraborty, Richa Sharma), Publicationes Mathematicae Debrecen, 97 (2020), no. 3-4, 339--352. arXiv:1812.11874

A note on certain real quadratic fields with class number upto three (with Kalyan Chakraborty, Mohit Mishra), Kyushu Journal of Mathematics, 74 (2020), no. 1, 201--210.  arXiv: 1812.02488v3

Complete solution to Cyclotomy of order $2\ell^2$ with prime $\ell$ (with Md. Helal Ahmed, Jagmohan Tanti), The Ramanujan Journal, 53 (2020), no. 3, 529--550. arXiv: 1807.07708

Divisibility of Selmer groups and class groups (with Kalyan Banerjee, Kalyan Chakraborty), Hardy-Ramanujan Journal, 42 (2019), 85--99. arXiv: 1912.02420

Divisibility of class numbers of certain families of quadratic fields (with Kalyan Chakraborty), Journal of the Ramanujan Mathematical Society, 34 (2019), no. 3, 281--289. arXiv: 1712.07338

On the solutions of a Lebesgue - Nagell type equation (with Shanjay Batter, Richa Sharma), Acta Mathematica Hungarica, 158 (2019), no. 1, 17--26. arXiv.1810.04512

Pell-type equations and class number of the maximal real subfield of a cyclotomic field (with Kalyan Chakraborty), The Ramanujan Journal, 46 (2018), no. 3, 727--742. arXiv: 1710.09760

Divisibility of the class numbers of imaginary quadratic fields (with Kalyan Chakraborty, Yasuhiro Kishi, Prem Prakash Pandey), Journal of Number Theory, 185 (2018), 339--348. arXiv: 1710.03662

Class groups of imaginary quadratic fields of 3-rank at least 2 (with Kalyan Chakraborty), Ann. Univ. Sci. Budapest. Sect.   Comput.47 (2018), 179--183. (in a special issue in honor of the 80-th birthday of Professors Zoltán Daróczy and Imre Kátai, the 75-th birthday of Professor Karl-Heinz Indlekofer, the 70-th birthday of Professors Jean-Marie De Koninck and Gyula Maksa, the 65-th birthday of Professor Bui Minh Phong and the 60-th birthday of Professor Sándor Fridli). arXiv:1802.07919v1

On $\xi$-torsion modules (with Himashree Kalita, Helen K. Saikia), Bollettino dell'Unione Matematica Italiana, 10 (2017), no. 2, 223--228.  PDF

On the class-number of the maximal real subfield of a cyclotomic field (with Helen K. Saikia), Quaestiones Mathematicae, 37 (2016), no. 7, 889--894. PDF

On the divisibility of class numbers of quadratic fields and the solvability of Diophantine equations (with Helen K. Saikia), SeMA Journal, 73 (2016), no. 3, 213--217.  arXiv: 1710.09755

A new cryptosystem using generalized Mersenne primes, SeMa Journal, 73 (2016), 77--83.

Some aspects of quasi-pseudo principally injective modules (with Hemen Dutta, Sameer M. Saeed), Journal of the Ramanujan Mathematical Society, 31 (2016), no. 3, 257--263. arXiv: 1909.10311

A note on quadratic fields whose class numbers are divisible by 3 (with Helen K. Saikia), SeMA Journal, 73 (2016), no. 1, 1--5.

On the exponential Diophantine equation $(M_{pq}+1)^x+M_{pq}^y=z^2$, European Journal of Pure and Applied Mathematics, 09 (2016), no. 2, 240--243.

On generalized Mersenne primes and class numbers of equivalent quadratic fields and cyclotomic fields (with Helen K. Saikia), SeMA Journal, 67 (2015), no. 1,  71--75.  

A family of imaginary quadratic fields whose class numbers are multiples of three (with Helen K. Saikia), Journal of Taibah University for Sciences, 9 (2015), no. 3, 399--402.

On generalized Mersenne prime (with Helen K. Saikia), SeMA Journal, 66 (2014), no. 1, 1--7.

Class Groups of Number Fields and Related Topics (with Kalyan Chakraborty, Prem Prakash Pandey), Springer Proc. Math. Stat. 470, 246+XII pages, Springer, Singapore, 2024 (edited). 

Class groups of number fields and related topics (ICCGNFRT-2017 and 2018) (with Kalyan Chakraborty, Prem Prakash Pandey), 178+XII pages, Springer Singapore, 2020 (edited).

Divisibility of class numbers of quadratic fields: Qualitative aspects (with Kalyan Chakraborty, Richa Sharma). In: Agarwal P.,  Dragomir, S. S., Jleli, M., Samet, B . (eds) Advances in Mathematical inequalities and Application. Trends in Mathematics. Birkhäuser,/Springer, Singapore, 2018, pp. 247--264.  PDF

Quadratic Reciprocity and Some“Non-differentiable” Functions (with Kalyan Chakraborty), In: Ruzhansky M., Cho Y., Agarwal P., Area I. (eds) Advances in Real and Complex Analysis with Applications. Trends in Mathematics. Birkhäuser/Springer, Singapore, 2017, pp. 145--181.  PDF

Generalized perfect numbers connected with arithmetic functions (with Himashree Kalita), Mathematical Sciences Letters, 03 (2014), no. 03, 249--253.