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math.NT2026
On dynamical irreducible set of polynomials
Himanshu Sharma
In this article, a necessary and sufficient condition is proved for the dynamical irreducibility of a family of polynomials over a finite field. Using this result, an explicit cons…
math.NT2022
Stability of Certain Higher Degree Polynomials
Shanta Laishram, Ritumoni Sarma, Himanshu Sharma
One of the interesting problems in arithmetic dynamics is to study the stability of polynomials over a field. In this paper, we study the stability of for $d…