My current work is focused on combinatorics with a side interest in number theory. I am also interested in history of mathematics. For my publications, see below.

Some of the papers here may not be the final version that appeared, if you want a latest version send me an email.

*A study of the crank function with special emphasis on Ramanujan's Lost Notebook*, M.Sc Thesis, Tezpur University (Tezpur, India), 2014. (Supervisor: Prof. Nayandeep Deka Baruah) (pdf).*Representations of the Symmetric Group*, Diploma Thesis, The Abdus Salam International Centre for Theoretical Physics (Trieste, Italy), 2015. (Supervisor: Prof. Fernando R. Villegas) (pdf).

*A Simple Number Theoretic Result*, (with*Jure Vogrinc*)*Journal of the Assam Academy of Mathematics*, 2010, 3, 91 -- 96. (pdf)*Binomial Symbols and Prime Moduli*, (with*Jure Vogrinc*)*Journal of the Indian Mathematical Society*, 2011, 79 (1-4), 137 -- 143. (pdf)*A new proof of Lucas' Theorem*, (with*Alexandre Laugier*)*Notes on Number Theory and Discrete Mathematics*, 2012, 18 (4), 1 -- 6. (pdf)*Cranks in Ramanujan's Lost Notebook*,*Journal of the Assam Academy of Mathematics*, 2013, 6, 59 -- 63. (pdf)*A characterization of a prime $p$ from the binomial coefficient ${n \choose p}$*, (with*Alexandre Laugier*),*The Mathematics Student*, 2014, 83 (1-4), 221 -- 227. (pdf)*Some results about Linear Recurrence Relation Homomorphisms*, (with*Alexandre Laugier*)*Notes on Number Theory and Discrete Mathematics*, 2014, 20 (4), 58 -- 68. (pdf)*A study of the crank function in Ramanujan's Lost Notebook*,*The Mathematics Student*, 2015, 84 (1-2), 105 -- 121. (pdf)*A combinatorial proof of a result on generalized Lucas Polynomials*, (with*Alexandre Laugier*)*Demonstratio Mathematica*, 2016, 49 (3), 266--270. (pdf)*Some Results on Generalized Multiplicative Perfect Numbers*, (with*Alexandre Laugier, Upam Sarmah*)*Annali Dell'Universita' di Ferrara*, 2016, 62 (2), 293--312. (pdf)*Some Properties of Fibonacci Numbers, Generalized Fibonacci Numbers and Generalized Fibonacci Polynomial Sequences*, (with*Alexandre Laugier*)*Kyungpook Mathematical Journal*, 2017, 57 (1), 1--84. (pdf)*Enumeration of Domino Tilings of an Aztec Rectangle with boundary defects*,*Advances in Applied Mathematics*, accepted for publication. (pdf)

*The Pursuit of Joy*(with*Pankaj Jyoti Mahanta*), LAP Lambert Academic Publishing, Germany, 2011. (pdf)

*An interesting number theoretic problem*,*Ganit Bikash*, 2011. (pdf)-
*Gonit Sora-the two year journey*, (with*Pankaj Jyoti Mahanta*),*Asia Pacific Mathematics Newsletter*, October 2013, 3 (4), 25 -- 27. (pdf) *Periodic Sequences modulo $m$*, (with*Alexandre Laugier*)*prepint*, 2015. (pdf)-
*The Pythagoras' Theorem*,*Asia Pacific Mathematics Newsletter*, September 2015, 5 (2), 5 -- 8. (pdf) -
*John Forbes Nash, Jr. - A Short Obituary*,*Asia Pacific Mathematics Newsletter*, September 2015, 5 (2), 42 -- 43. (pdf)

- Probability Theory (with Rupam Haloi)

- The irrationality of $\zeta(2)$ and $\zeta(3) (under Dr. Purusottam Rath at Chennai Mathematical Institute, Chennai, India), June - July 2010.
- A study of Kummer's proof of Fermat's Last Theorem for regular primes (under Prof. Kapil Hari Paranjape at The Indian Institute of Science Education and Research, Mohali, India), June - July 2011.
- Some results in Additive Combinatorics and Analytic Number Theory (under Prof. R. Balasubramanian at The Institute of Mathematical Sciences, Chennai, India), June - July 2012.
- Polya's Theory of Counting (under Prof. Fernando R. Villegas at The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy), October - December 2014.

Last modified 16th May, 2017 | Design credits