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math.NT2025
Primitive prime divisors in the forward orbit of a polynomial
Shanta Laishram, Sudhansu S. Rout, Prabhakar Yadav
For the polynomial , we consider the Zsigmondy set associated to the numerators of the sequence . In this paper, w…
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…