S. Rout

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20242026

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math.NT2025

Diophantine Equations for Polynomial Recursive Sequences

Darsana N, Sudhansu Sekhar Rout

We study the Diophantine equation of type $U_{n} (x) = V_{m} (y)$ , where $(U_{n})_{n \geq 0}$ and $(V_{m})_{m \geq 0}$ are polynomial power sums defined over a number field $K$ . By applying the…

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…