S. S. Rout

activity

20132026

most citedOn the resolution of the Diophantine equation

U_{n} + U_{m} = x^{q}

2 citations · 5 across the 17 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.NT2021

Sums of $S$ -units in sum of terms of recurrence sequences

P. K. Bhoi, S. S. Rout, G. K. Panda

Let $S := {p_{1}, \dots, p_{ℓ}}$ be a finite set of primes and denote by $U_{S}$ the set of all rational integers whose prime factors are all in $S$ . Let $(U_n)_{n\geq 0…

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.NT2021

The orbit intersection problem in positive characteristic

Sudhansu Sekhar Rout

In this paper, we study the orbit intersection problem for the linear space and the algebraic group in positive characteristic. Let $K$ be an algebraically closed field of positive…

Sums of S-units in sum of terms of recurrence sequences

Reduction of polynomial dynamical systems modulo primes

The orbit intersection problem in positive characteristic

Sums of $S$ -units in sum of terms of recurrence sequences