Shanta Laishram

collaborators

3 papers

math.NT2026

Generalized Fruit Diophantine equation over number fields

Satyabrat Sahoo, Shanta Laishram

Let $K$ be a number field and $O_{K}$ be the ring of integers of $K$ . In this article, we study the solutions of the generalized fruit Diophantine equation $ax^d-y^2-z^2 +x…

math.NT2025

Behaviour of Newton Polygon over polynomial composition

Anuj Jakhar, Shanta Laishram, Kotyada Srinivas +1

In this paper, we study the structure of Newton polygons for compositions of polynomials over the rationals. We establish sufficient conditions under which the successive vertices…

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…