Speaker: Shanta Laishram
Affiliation: Indian Statistical Institute, New Delhi
Title: On the stability of certain higher degree polynomials
Date and Time: April 27, 2023, 11:30:00 Hours
Venue: AG-77
Asbtract: 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.
Affiliation: Indian Statistical Institute, New Delhi
Title: On the stability of certain higher degree polynomials
Date and Time: April 27, 2023, 11:30:00 Hours
Venue: AG-77
Asbtract: 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.