S. S. Rout

activity

20172021

collaborators

5 papers

math.NT2021

Reduction of polynomial dynamical systems modulo primes

Sudhansu Sekhar Rout

We study the algebraic dynamical systems generated by triangular systems of rational functions and estimate the height growth of iterations generated by such systems. Further, usin…

math.NT2020

Cullen numbers in sums of terms of recurrence sequence

Nabin Kumar Meher, Sudhansu Sekhar Rout

Let $(U_{n})_{n \geq 0}$ be a fixed linear recurrence sequence of integers with order at least two, and for any positive integer $ℓ$ , let $ℓ \cdot 2^{ℓ} + 1$ be a Cullen numb…

math.NT2020

$S$ -parts of sums of terms of linear recurrence sequences

S. S. Rout, N. K. Meher

Let $S = {p_{1}, \dots, p_{s}}$ be a finite, non-empty set of distinct prime numbers and $(U_{n})_{n \geq 0}$ be a linear recurrence sequence of integers of order $r$ . For any posit…

math.NT2020

Multiple Lucas Dirichlet series associated to additive and Dirichlet characters

Nabin Kumar Meher, Sudhansu Sekhar Rout

In this article, we obtain the analytic continuation of the multiple shifted Lucas zeta function, multiple Lucas $L$ -function associated to Dirichlet characters and additive charac…

math.NT2017

Perfect powers in alternating sum of consecutive cubes

Pranabesh Das, Pallab Kanti Dey, B. Maji +1

In this paper, we consider the problem about finding out perfect powers in an alternating sum of consecutive cubes. More precisely, we completely solve the Diophantine equation $(x…

Reduction of polynomial dynamical systems modulo primes

Cullen numbers in sums of terms of recurrence sequence

S-parts of sums of terms of linear recurrence sequences

Multiple Lucas Dirichlet series associated to additive and Dirichlet characters

Perfect powers in alternating sum of consecutive cubes

$S$ -parts of sums of terms of linear recurrence sequences