Publications

Published/Accepted Paper:

1. N.K. Meher and S. S. Rout, Multiple Lucas Dirichlet series associated to additive and Dirichlet characters, Mediterr. J. Math. 18(6) 262 (2021).

2. S. S. Rout and A. Juyal, The Mordell-Weil bases for the elliptic curve $y^2 = x^3-m^2x+m^2$, Czechoslovak Math. J 71(146) (2021) 1133-1147.

3. S. S. Rout, The dynamical Mordell-Lang problem for intersection of orbits, J. Number Theory 207 (2020),122-137.

4. P. Das, P. K. Dey, B. Maji and S. S. Rout, Perfect powers in alternating sum of consecutive cube, Glas. Math. Ser. III 55(1)(2020), 37-53.

5. P. Das, P. K. Dey and S. S. Rout, Sums of fifth powers in an alternating sum of consecutive cubes: A special case, J. Ramanujan Math. Soc. 35(1) (2020), 23-33.

6. E. Mazumdar and S. S. Rout, Prime powers in sums of terms of binary recurrence sequences, Monatsh Math. 189(2019), 695-714.

7. A. Berczes, L. Hajdu, I. Pink, and S. S. Rout, Sums of $S$-units in recurrence sequences, J. Number Theory 196(2019), 353-363.

8. S. S. Rout, Lucas non-Weiferich primes in arithmetic progressions, Funct. Approx. Comment. Math. 60(2019), 167-175.

9. N. K. Meher and S. S. Rout, Analytic continuation of multiple Lucas zeta functions, J. Math. Anal. Appl. 468 (2018), 1115-1130.

10. S. S. Rout and R. Thangadurai, $\ell$-th order gap balancing numbers, Integers 18 (2018), Paper No. A56.

11. S. S. Rout and N.K. Meher, Analytic continuation of multiple Fibonacci zeta functions, Proc. Japan Acad. Ser A Math. Sci. 94(6) (2018), 64--69.

12. N. K. Meher and S. S. Rout, Linear combinations of prime powers in sums of terms of binary recurrence sequences, Lith. Math. J. 57(4) (2017), 1-15.

13. P. K. Dey and S. S. Rout, Diophantine equations concerning balancing and Lucas balancing numbers, Arch. Math. (Basel) 108 (2017), 29--43.

14. S. S. Rout, Balancing non-Weiferich primes in arithmetic progressions and abc conjecture, Proc. Japan Acad. Ser A Math. Sci. 92(9) (2016), 112--116.

15. S. S. Rout, R. K. Davala and G. K. Panda, Stability of balancing sequences modulo $p$, Unif. Distrib. Theory 10(2) (2015), 75--89.

16. S. S. Rout and G. K. Panda, $k$-Gap balancing numbers, Period. Math. Hungar. 70(1) (2015), 109--121.

17. S. S. Rout and G. K. Panda, Balancing Dirichlet series and related $L$- functions, Indian J. Pure and Appl Math. 45(6) (2014), 943--952.

18. G. K. Panda and S. S. Rout, Periodicity of balancing numbers, Acta. Math. Hungar. 143(2) (2014), 274--286.

19. G. K. Panda and S. S. Rout, Gap balancing numbers, Fib. Quart. 51(3)(2013), 239--248.