S. Rout

collaborators

2 papers

math.NT2025

Primitive prime divisors in the forward orbit of a polynomial

Shanta Laishram, Sudhansu S. Rout, Prabhakar Yadav

For the polynomial $f (z) \in Q [z]$ , we consider the Zsigmondy set $Z (f, 0)$ associated to the numerators of the sequence ${f^{n} (0)}_{n \geq 0}$ . In this paper, w…

math.NT2024

Uniform bounds on $S$ -integral preperiodic points for chebyshev polynomials

Rudranarayan Padhy, Sudhansu Sekhar Rout

Let $K$ be a number field with algebraic closure $K ˉ$ , let $S$ be a finite set of places of $K$ containing the archimedean places, and let $φ$ be Chebyshev polynomial. In this…

Primitive prime divisors in the forward orbit of a polynomial

Uniform bounds on S-integral preperiodic points for chebyshev polynomials

Uniform bounds on $S$ -integral preperiodic points for chebyshev polynomials