On the Bateman-Horm Conjecture about Polynomial Rings

Lior Bary-Soroker, Moshe Jarden

Given a power $q$ of a prime number $p$ and "nice" polynomials $f_1,...,f_r\in\bbF_q[T,X]$ with $r=1$ if $p=2$, we establish an asymptotic formula for the number of pairs $(a_1,a_2…