Research Articles

Ph. D. Thesis: Perfect Powers in Certain Diophantine Equations and Recurrence Sequences.  The thesis is available on request.

• J. J. Bravo, P. Das, S. Guzman, and  S. Laishram, Powers in product of terms of Pell’s and Pell-Lucas sequences, International Journal of Number Theory, 11 (4), 1259-1274 (2015). 

• P. Das and  A. Turchet, Invitation to integral and rational points on curves and surfaces,  Rational points, rational curves and entire holomorphic curves on projective varieties, Contemporary Mathematics, 654, (2015).

• P. Das, S. Laishram, and N. Saradha, Cubes in product of terms from an Arithmetic Progression,  Acta Arithmetica, 184, 117-126 (2018). 

• P. Das, S. Laishram,  and N. Saradha, Variants of Erdos-Selfridge superelliptic curves and their rational points,  Mathematika,  64 (2),  380-386, (2018).

• P. Das, P. K. Dey,  and S. S. Rout, Sums of fifth powers being a perfect power: A special case,  J. Ramanujan Math. Soc., 35 (1), 1-11, (2020).

• P. Das, P. K. Dey, B. Maji,  and S. S. Rout, Perfect powers in Alternating sums of consecutive cubes, Glasnik Mathematikčki, 55 (75),  37-53 (2020). 

• J.J. Bravo, P. Das, and S. Guzman, Repdigits in Narayana's Cows sequence and their consequences, Journal of Integer Sequences 23( 2020), No. 8, Art 20.8.7, 15pp.

• P. Das, P.K. Dey, A. Koutsianas, and N. Tzanakis, Perfect powers in sum of three fifth powers, Journal of Number Theory, Vol 236, July 2022, Pages 443-462.

• P. Das, S. Laishram,  N. Saradha, and D. Sharma, Rational solutions to the variants of Erd ̋os-Selfridge superelliptic curves  Int. J. Number Theory, Vol. 19, No. 07, pp. 1707-1744 (2023).

Preprints

• P. Das and A. Koutsianas, Rational solutions on Erdos-Selfridge superelliptic curves for small exponents (Work  in progress)