My Published and Papers in Press/Accepted Papers

- 1. Number of prime divisors in a product of consecutive integers (with T. N. Shorey), Acta Arith. 113 (2004), 327-341.
- 2. Number of prime divisors in a product of terms of an arithmetic progression (with T. N. Shorey), Indag. Math., 15(4) (2004), 505-521.
- 3. An estimate for the length of an arithmetic progression the product of whose terms is almost square, Pub. Math. Debrecen, 68 (2006), 451-475.
- 4. Greatest prime factor of a product of consecutive integers (with T. N. Shorey), Acta Arith., 120 (2005), 299-306.
- 5. The greatest prime divisor of a product of terms in an arithmetic progression (with T. N. Shorey), Indag. Math., 17(3) (2006), 425-436.
- 6. Grimm's Conjecture on consecutive integers, Int. Jour. Number Theory (with T. N. Shorey), 2 (2006), 207-211.
- 7. An extension of a theorem of Euler (with Hirata-Kohno, T. N. Shorey and R. Tijdeman), Acta Arith., 129 (2007), 71-102.
- 8. The equation n(n+d)...(n+(k-1)d) = by
^{2}with w(d) <= 6 or d <= 10^{10}(with T. N. Shorey), Acta Arith., 129 (2007), 249-305. - 9. Squares in arithmetic progression with at most two terms omitted (with T. N. Shorey), Acta Arith., 134 (2008), 299-316.
- 10. Squares in products in arithmetic progression with at most one term omitted and common difference a prime power (with T. N. Shorey and Sz. Tengely), Acta Arith., 135 (2008), 143-158.
- 11. The number of prime divisors of consecutive integers, Jour. of Combinatorics and Number Theory (with R Balasubramanian, T. N. Shorey and R Thangadurai), 1 (3) (2009), 65-73.
- 12. On a conjecture on Ramanujan primes, Int. Jour. of Number Theory, 6 (2010), 1869-1873.
- 13. Irreducibility of generalised Hermite-Laguerre Polynomials II (with T. N. Shorey), Indag. Math., 20 (4) (2009), 427-434.
- 14. Some irreducibility results for truncated binomial expansions, Journal of Number Theory (with S.K. Khanduja and R. Khassa), 131 (2011) 300-308.
- 15. Stolarsky’s conjecture and the sum of digits of polynomial values (with K. Hare and T. Stoll), Proc. of the AMS, 1 (2011), 39-49.
- 16. On the sum of digits of n and n
^{2}(with K. Hare and T. Stoll), Int. Jour. of Number Theory, 7 (2011), 1737-1752. - 17. Extensions of Schur’s irreducibility results (with T. N. Shorey), Indag. Math., 21 (2011), 87-105.
- 18. Solving n(n+d)...(n+(k-1)d) = by
^{2}with P(b) <= Ck (with M. Filaseta and N. Saradha), Int. Jour. of Number Theory, 8 (2012), 161-173. - 19. Grimm’s Conjecture and smooth numbers (with R. Murty), Michigan Math. Journal, 61 (2012), 151-160.
- 20. Irreducibility of generalised Hermite-Laguerre Polynomials (with T. N. Shorey), Functiones et Approximatio, 47 (2012), 51-64.
- 21. Baker's Explicit abc-Conjecture and applications (with T. N. Shorey), Acta Arithmetica, 155 (2012), 419-429.
- 22. Fibonacci numbers of the form $x^a\pm x^b\pm 1$ (with F. Luca), Fibonnaci Quart., 52 (4) (2014), 290-295.
- 23. On the Galois groups of generalized Laguerre Polynomials Hardy Ramanujan Journal, 37 (2015), 8-12.
- 24. Powers in products of terms of Pell's and Pell-Lucas Sequences (with J. Bravo, P. Das and S. Guzman), Int. Jour. of Number Theory, 11 (2015), no. 4, 1259-1274.
- 25. Irreducibility of Generalized Laguerre Polynomials $L_n^{\frac{1}{2}+u}(x)$ with integer $u$ (with S. Nair and T. N. Shorey), Journal of Number Theory, 160 (2016), 76-107.
- 26. Power values of sums of products of consecutive integers (with L. Hajdu and S. Tengely), Acta Arith., 172 (2016), 333-349.
- 27. Rectangles of nonvisible lattice points (with F. Luca), Journal of Integer Sequences, 18 (2015) Article 15.10.8.
- 28. Perfect powers in Arithmetic Progression (with T. N. Shorey), Journal of Combinatorial Number Theory, 7 (2), 2016.
- 29. Baker's Explicit abc-Conjecture and Waring's problem, Hardy Ramanujan Journal, Hardy-Ramanujan Society, 2015, 38.
- 30. Irreducibility of generalized Hermite-Laguerre Polynomials III (with T. N. Shorey), Journal of Number Theory, 164 (2016), 303-322.
- 31. Perfect powers in products of terms of elliptic divisibility sequences (with L. Hajdu and M. Szikszai), Bulletin of Australian Math Soc., 94 (2016), 395-404.
- 32. Sums of the digits in bases 2 and 3 (with J-M Deshouillers, L. Habsieger and B. Landreau), Number Theory - Diophantine problems, Uniform Distribution and Applications - Festschrift in Honour of Robert F. Tichy's 60th Birthday", Ed. C. Elsholtz and P. Grabner.

- A conjecture on greatest prime factor and squares in arithmetic progression
- Irreducibility of extensions of Laguerre Polynomials
- Irreducibility and Galois Groups of Generalized Laguerre Polynomials L_{n}^{(-1-n-r)}(x)
- Variations of Erd\H{o}s- Selfridge superelliptic curves and their rational points
- Cubes in products of terms from an arithmetic progression

- American Mathematical Monthly(AMM) Problem #10893
- Mathematics Magazine Problem (with Ritumoni Sarma) #1626