On the stability of certain higher degree polynomials
by
Prof.Shanta Laishram(Indian Statistical Institute, New Delhi)
→
Asia/Kolkata
AG-77
AG-77
Description
Abstract: We study the stability of $f(z)=z^d+\frac{1}{c}$ for $d\geq 3$
and $c$ a non-zero integer. We show that whenever $f(z)$ is irreducible
over rationals, all its iterates are irreducible over rationals, that is,
$f(z)$ is stable over rationals, for infinitely many values of $d$. This
is a joint work with R. Sarma and H. Sharma.